1D Random WalK and arcsine laws.ipynb

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        "  ### 1D Random Walk\n",
        "\n",
        "  Random walks are commonly used to model biological dynamics at the population, cellecular, and molecular level (Berg, 1993). Often it is possible to sufficiently model the dynamics of a biological process using a single dimension. Here, you will simulate the dynamocs of a 1D random walk (i.e., coin-flipping) and calculate quantities that capture essential features of random walks.  \n",
        "\n",
        "  At each step a random variable $s_{t}$ is independantly and identically drawn as follows\n",
        "\n",
        "  $s_{t} =\n",
        "  \\begin{cases}\n",
        "  & +1 \\text{ with probability} \\, p  \\\\\n",
        "  & -1 \\text{ with probability} \\, 1-p\n",
        "  \\end{cases}$\n",
        "\n",
        "\n",
        "  The sequence of $s_{t}$ over T steps constitutes a single random walk: $s_{1}, s_{2},.., s_{T}$\n",
        "\n",
        "  By taking the sum of the sequence of the sequence we can calculate the net distance of the walk $S(T) = \\sum_{t=1}^{T}s(t)$, the expectation of which should be zero if the walk is unbiases ($p=0.5$). Below are the objectives of the assignment\n",
        "\n",
        "  1) Generate a large number of random walks with $p=0.5$ and $T=1,000$ steps and calculate $S(T)$ for each walk. Plot the distribution of $S(T)$. Using the definition of $s_{t}$, propose a probability distribution for the empirical distribution. Why is this a reasonable distribution?\n",
        "\n",
        "\n",
        "2) Compute the arcsine law for the last visit\n",
        "\n",
        "Arcsine laws are a collection of patterns that hold for 1D random walks. Here you will you calculate the second arcinse law, which concerns the last time that a 1D random walk reached the origin ($T_{0}$). The quantity $T_{0}$ follows the cumulative distribution\n",
        "\n",
        "$P(T_{0} \\leq x) = \\frac{2}{\\pi} \\text{arcsin}(\\sqrt(x))$\n",
        "\n",
        "Simulate a large nmber of random walks with $p=0.5$ and $T=1,000$ steps and calculate $T_{0}$ for each one. Plot the distribution of $T_{0}$. Does it follow the arcsine law? Why should the distribution of $T_{0}$ have this pattern?\n",
        "\n",
        "\n",
        "3) Compute the arcsine law for the position of the maximum\n",
        "\n",
        "The third arcise law concerns the time at which $S(t)$ is at its maximum value $T_{\\text{max}}$. Again, the distribution should follow an arcsine law.\n",
        "\n",
        "$P(T_{\\text{max}} \\leq x) = \\frac{2}{\\pi} \\text{arcsin}(\\sqrt(x))$\n",
        "\n",
        "Run a simulation to demonstrate the case. Show that this result is robust to biased random walks (i.e., $p \\neq 0.5$). Why do you think that the arcsine law is capable of capturing multiple patterns?\n",
        "\n",
        "\n",
        "Like all of these projects, we ask that you think of and perform additional analyses that you find interesting, time permitting. Relevant supplemental material for this exercise can be found in the first chapter of Feller (2008).\n",
        "\n",
        "\n",
        "### References\n",
        "\n",
        "Berg, H. C. (1993). Random walks in biology. In Random Walks in Biology. Princeton University Press.\n",
        "\n",
        "Feller, W. (2008). An introduction to probability theory and its applications, vol 1. John Wiley & Sons.\n",
        "\n"
      ]
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      "source": [
        "***1. Random experiment***"
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      "metadata": {
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      "outputs": [],
      "source": [
        "import numpy as np\n",
        "import random\n",
        "import matplotlib.pyplot as plt\n",
        "import math"
      ]
    },
    {
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          "text": [
            "[[ 0.  1.  1. ... -1. -1. -1.]\n",
            " [ 0.  1. -1. ...  1.  1. -1.]\n",
            " [ 0. -1. -1. ...  1. -1.  1.]\n",
            " ...\n",
            " [ 0. -1. -1. ...  1. -1. -1.]\n",
            " [ 0.  1.  1. ...  1.  1.  1.]\n",
            " [ 0.  1. -1. ... -1. -1.  1.]]\n",
            "[-8. 12.  6. ... -2.  4. 14.]\n"
          ]
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          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 800x600 with 1 Axes>"
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\n"
          },
          "metadata": {}
        }
      ],
      "source": [
        "def random_walk(P, T):\n",
        "    St = np.zeros(T+1)  # T+1 para incluir s0\n",
        "    for t in range(1, T+1):  # Empezamos en 1 para s0 = 0\n",
        "        p = np.random.rand()  # Generamos un número aleatorio\n",
        "        if P >= p:\n",
        "            St[t] = + 1\n",
        "        else:\n",
        "            St[t] = - 1\n",
        "    return St\n",
        "\n",
        "# Parámetros\n",
        "P = 0.5\n",
        "T = 100\n",
        "N = 5000\n",
        "\n",
        "# N caminatas, cada una con T+1 valores\n",
        "S = np.zeros((N, T+1))\n",
        "S_sum = np.zeros(N)\n",
        "\n",
        "for i in range(N):\n",
        "    S[i] = random_walk(P, T)\n",
        "    S_sum[i] = np.sum(S[i])\n",
        "print(S)\n",
        "print(S_sum)\n",
        "plt.figure(figsize=(8, 6))\n",
        "plt.hist(S_sum, bins= 30, color='skyblue')\n",
        "plt.xlabel('Random Variables $S(T)$', fontsize=14)\n",
        "plt.ylabel('Frequency', fontsize=14)\n",
        "plt.title('Histogram of N random Walks (Simulation of N walks)', fontsize=16)\n",
        "plt.grid(True, linestyle='--', alpha=0.7)\n",
        "plt.show()\n"
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "***Deducing a probability for P(S(t))***\n",
        "\n",
        "\n"
      ],
      "metadata": {
        "id": "ZF_BIH3IvTf8"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# Ensuring that (T + S) is even\n",
        "S_variable = np.arange(-T, T+1, 2)\n",
        "print(\"S_variable:\", S_variable)\n",
        "\n",
        "def coefficient(T, S):\n",
        "    return math.factorial(T) // (math.factorial((T - S)//2) * math.factorial((T + S)//2))\n",
        "\n",
        "\n",
        "P_dist = np.zeros(len(S_variable))\n",
        "\n",
        "for i, S in enumerate(S_variable):\n",
        "    P_dist[i] = coefficient(T, S) * (0.5**T)\n",
        "plt.figure(figsize=(8, 6))  # Larger figure for better clarity\n",
        "plt.bar(S_variable, P_dist, color='skyblue', edgecolor='black')\n",
        "plt.xlabel('Random Variables $S$', fontsize=14)\n",
        "plt.ylabel('$P(S)$', fontsize=14)\n",
        "plt.title('Probability Distribution of Net Displacement', fontsize=16)\n",
        "plt.grid(True, linestyle='--', alpha=0.7)\n",
        "plt.show()\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 716
        },
        "id": "upNSt3FZOiAT",
        "outputId": "99bc0b48-d0fe-436d-82e8-f8222be32f51"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "S_variable: [-100  -98  -96  -94  -92  -90  -88  -86  -84  -82  -80  -78  -76  -74\n",
            "  -72  -70  -68  -66  -64  -62  -60  -58  -56  -54  -52  -50  -48  -46\n",
            "  -44  -42  -40  -38  -36  -34  -32  -30  -28  -26  -24  -22  -20  -18\n",
            "  -16  -14  -12  -10   -8   -6   -4   -2    0    2    4    6    8   10\n",
            "   12   14   16   18   20   22   24   26   28   30   32   34   36   38\n",
            "   40   42   44   46   48   50   52   54   56   58   60   62   64   66\n",
            "   68   70   72   74   76   78   80   82   84   86   88   90   92   94\n",
            "   96   98  100]\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 800x600 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "def random_walk(P, T):\n",
        "    St = np.zeros(T+1)  # T+1 to include s0\n",
        "    for t in range(1, T+1):\n",
        "        p = np.random.rand()\n",
        "        if P >= p:\n",
        "            St[t] = St[t-1] + 1\n",
        "        else:\n",
        "            St[t] = St[t-1] - 1\n",
        "    return St\n",
        "\n",
        "# Parámetros\n",
        "P = 0.5\n",
        "T = 1000\n",
        "N = 1000\n",
        "\n",
        "# N caminatas, cada una con T+1 valores\n",
        "S = np.zeros((N, T+1))\n",
        "S_sum = np.zeros(N)\n",
        "\n",
        "for i in range(N):\n",
        "      S[i] = random_walk(P, T)\n",
        "\n",
        "zero = []\n",
        "\n",
        "for s in S:\n",
        "  #print(s)\n",
        "  zero.append([i for i,x in enumerate(s) if x == 0][-1]) #this is to find a position in a list.\n",
        "#print(zero)\n",
        "\n",
        "plt.figure(figsize=(8, 6))\n",
        "plt.hist(zero, bins=10, color='skyblue')\n",
        "plt.xlabel('Random Variables $T_0$', fontsize=14)\n",
        "plt.ylabel('Frequency', fontsize=14)\n",
        "plt.title('Histogram of $T_0$ of N random Walks ', fontsize=16)\n",
        "plt.grid(True, linestyle='--', alpha=0.7)\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 576
        },
        "id": "ItA0EQkoG6LF",
        "outputId": "768efece-09f3-4a78-bbc4-0413f0dc4e56"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 800x600 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "Lets do the cumulative of our variables.\n"
      ],
      "metadata": {
        "id": "74I9GDZPdUg7"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "from sys import hash_info\n",
        "# Create histogram\n",
        "counts, bins = np.histogram(zero, bins=1000)\n",
        "print(zero)\n",
        "# Print histogram data as a list\n",
        "histogram_list = list(zip(bins[:-1], counts))\n",
        "print(histogram_list)\n",
        "print(histogram_list[1][1])\n",
        "Cumulative = []\n",
        "Sum=0\n",
        "for i in range (len(histogram_list)):\n",
        "  Sum = Sum + histogram_list[i][1]\n",
        "  Cumulative.append(Sum)\n",
        "\n",
        "# Adjust Tzeros to match the length of Cumulative (based on the number of bins in the histogram)\n",
        "Tzeros = np.arange(len(Cumulative))\n",
        "\n",
        "# Plotting with improvements\n",
        "plt.figure(figsize=(8, 6))  # Larger figure for better clarity\n",
        "plt.plot(Tzeros, Cumulative, label='Cumulative Distribution of To', color='c', linewidth=2)\n",
        "\n",
        "plt.xlabel('Random Variables $T_0$', fontsize=14)\n",
        "plt.ylabel('P(S)', fontsize=14, labelpad=10)\n",
        "plt.title('Cumulative Distribution of To', fontsize=16, pad=15)\n",
        "\n",
        "plt.xticks(fontsize=12)\n",
        "plt.yticks(fontsize=12)\n",
        "plt.ylim(0, T)\n",
        "\n",
        "plt.grid(True)\n",
        "plt.legend(fontsize=12)\n",
        "\n",
        "plt.tight_layout()\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 681
        },
        "id": "zWPCxBwLlMd9",
        "outputId": "d0f09a2a-2d0e-484f-f082-dd3c474a8172"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
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(755.0, 0), (756.0, 2), (757.0, 0), (758.0, 1), (759.0, 0), (760.0, 0), (761.0, 0), (762.0, 4), (763.0, 0), (764.0, 2), (765.0, 0), (766.0, 2), (767.0, 0), (768.0, 4), (769.0, 0), (770.0, 0), (771.0, 0), (772.0, 1), (773.0, 0), (774.0, 2), (775.0, 0), (776.0, 0), (777.0, 0), (778.0, 1), (779.0, 0), (780.0, 1), (781.0, 0), (782.0, 1), (783.0, 0), (784.0, 1), (785.0, 0), (786.0, 2), (787.0, 0), (788.0, 0), (789.0, 0), (790.0, 2), (791.0, 0), (792.0, 2), (793.0, 0), (794.0, 3), (795.0, 0), (796.0, 1), (797.0, 0), (798.0, 2), (799.0, 0), (800.0, 3), (801.0, 0), (802.0, 3), (803.0, 0), (804.0, 3), (805.0, 0), (806.0, 3), (807.0, 0), (808.0, 0), (809.0, 0), (810.0, 2), (811.0, 0), (812.0, 1), (813.0, 0), (814.0, 1), (815.0, 0), (816.0, 2), (817.0, 0), (818.0, 0), (819.0, 0), (820.0, 0), (821.0, 0), (822.0, 1), (823.0, 0), (824.0, 2), (825.0, 0), (826.0, 6), (827.0, 0), (828.0, 0), (829.0, 0), (830.0, 2), (831.0, 0), (832.0, 2), (833.0, 0), (834.0, 4), (835.0, 0), (836.0, 4), (837.0, 0), (838.0, 1), (839.0, 0), (840.0, 1), (841.0, 0), (842.0, 1), (843.0, 0), (844.0, 4), (845.0, 0), (846.0, 0), (847.0, 0), (848.0, 0), (849.0, 0), (850.0, 2), (851.0, 0), (852.0, 2), (853.0, 0), (854.0, 1), (855.0, 0), (856.0, 1), (857.0, 0), (858.0, 3), (859.0, 0), (860.0, 3), (861.0, 0), (862.0, 0), (863.0, 0), (864.0, 2), (865.0, 0), (866.0, 2), (867.0, 0), (868.0, 1), (869.0, 0), (870.0, 3), (871.0, 0), (872.0, 1), (873.0, 0), (874.0, 0), (875.0, 0), (876.0, 2), (877.0, 0), (878.0, 3), (879.0, 0), (880.0, 1), (881.0, 0), (882.0, 1), (883.0, 0), (884.0, 2), (885.0, 0), (886.0, 3), (887.0, 0), (888.0, 1), (889.0, 0), (890.0, 0), (891.0, 0), (892.0, 2), (893.0, 0), (894.0, 3), (895.0, 0), (896.0, 1), (897.0, 0), (898.0, 3), (899.0, 0), (900.0, 2), (901.0, 0), (902.0, 6), (903.0, 0), (904.0, 3), (905.0, 0), (906.0, 2), (907.0, 0), (908.0, 4), (909.0, 0), (910.0, 1), (911.0, 0), (912.0, 2), (913.0, 0), (914.0, 6), (915.0, 0), (916.0, 5), (917.0, 0), (918.0, 0), (919.0, 0), (920.0, 2), (921.0, 0), (922.0, 1), (923.0, 0), (924.0, 1), (925.0, 0), (926.0, 2), (927.0, 0), (928.0, 2), (929.0, 0), (930.0, 2), (931.0, 0), (932.0, 6), (933.0, 0), (934.0, 3), (935.0, 0), (936.0, 4), (937.0, 0), (938.0, 3), (939.0, 0), (940.0, 1), (941.0, 0), (942.0, 4), (943.0, 0), (944.0, 5), (945.0, 0), (946.0, 2), (947.0, 0), (948.0, 3), (949.0, 0), (950.0, 2), (951.0, 0), (952.0, 3), (953.0, 0), (954.0, 3), (955.0, 0), (956.0, 1), (957.0, 0), (958.0, 3), (959.0, 0), (960.0, 7), (961.0, 0), (962.0, 3), (963.0, 0), (964.0, 2), (965.0, 0), (966.0, 2), (967.0, 0), (968.0, 4), (969.0, 0), (970.0, 3), (971.0, 0), (972.0, 2), (973.0, 0), (974.0, 4), (975.0, 0), (976.0, 6), (977.0, 0), (978.0, 7), (979.0, 0), (980.0, 1), (981.0, 0), (982.0, 3), (983.0, 0), (984.0, 2), (985.0, 0), (986.0, 6), (987.0, 0), (988.0, 2), (989.0, 0), (990.0, 9), (991.0, 0), (992.0, 13), (993.0, 0), (994.0, 11), (995.0, 0), (996.0, 12), (997.0, 0), (998.0, 13), (999.0, 28)]\n",
            "0\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 800x600 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "plt.figure(figsize=(8, 6))  # Larger figure for better clarity\n",
        "plt.bar(Tzeros, Cumulative, color='c', label='Cumulative Distribution of To')\n",
        "\n",
        "# Professional labels with the updated y-axis\n",
        "plt.xlabel('Random Variables $T_0$', fontsize=14)\n",
        "plt.ylabel(r'$Cumulative$ $Frequencies$', fontsize=14, labelpad=10)\n",
        "plt.title('Cumulative Distribution of To', fontsize=16, pad=15)\n",
        "\n",
        "# Adjusting axis and tick label size\n",
        "plt.xticks(fontsize=12)\n",
        "plt.yticks(fontsize=12)\n",
        "\n",
        "# Add a grid and legend\n",
        "plt.grid(True)\n",
        "plt.legend(fontsize=12)\n",
        "\n",
        "# Show the plot\n",
        "plt.tight_layout()\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 607
        },
        "id": "5vS9gnRrpw5q",
        "outputId": "bd67233e-f0be-4259-f00f-fcee01a0a3ae"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 800x600 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "**Theoretical Result**"
      ],
      "metadata": {
        "id": "XiLBIw8ywpAx"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "Tzeros = np.linspace(0, 1, T)  # Ensure values between 0 and 1\n",
        "def arc_sine(x):\n",
        "  return (2/np.pi)*np.arcsin(np.sqrt(x))\n",
        "\n",
        "Cumulative_Dist = arc_sine(Tzeros)\n",
        "\n",
        "# Plotting the result with improvements\n",
        "plt.figure(figsize=(8, 6))  # Larger figure for better clarity\n",
        "plt.plot(Tzeros, Cumulative_Dist, label='Arcsine Distribution', color='c', linewidth=2)\n",
        "\n",
        "# Professional labels\n",
        "plt.xlabel('$X = T_{0}/T$', fontsize=14, labelpad=12)  # Making labels larger than axis\n",
        "plt.ylabel(r'$P(T_{0} \\leq x)$', fontsize=14, labelpad=12)\n",
        "plt.title('Arcsine Distribution', fontsize=16, pad=15)\n",
        "\n",
        "# Adjusting axis and tick label size\n",
        "plt.xticks(fontsize=12)\n",
        "plt.yticks(fontsize=12)\n",
        "\n",
        "# Add a grid and legend\n",
        "plt.grid(True)\n",
        "plt.legend(fontsize=12)\n",
        "\n",
        "# Show the plot\n",
        "plt.tight_layout()\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 607
        },
        "id": "op-bNjbowt9X",
        "outputId": "825c43d2-4231-4f85-dd28-da5cf4297058"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 800x600 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "***JUST CONSIDER Tmax for positives S(k). Question 3***"
      ],
      "metadata": {
        "id": "hdFkqPZV4ZD6"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "def random_walk(P, T):\n",
        "    St = np.zeros(T+1)  # T+1 para incluir s0\n",
        "    for t in range(1, T+1):  # Empezamos en 1 para s0 = 0\n",
        "        p = np.random.rand()  # Generamos un número aleatorio\n",
        "        if P >= p:\n",
        "            St[t] = St[t-1] + 1\n",
        "        else:\n",
        "            St[t] = St[t-1] - 1\n",
        "    return St\n",
        "\n",
        "# Parámetros\n",
        "P = 0.5\n",
        "T = 1000\n",
        "N = 1000\n",
        "\n",
        "# N caminatas, cada una con T+1 valores\n",
        "S = np.zeros((N, T+1))\n",
        "S_sum = np.zeros(N)\n",
        "\n",
        "for i in range(N):\n",
        "      S[i] = random_walk(P, T)\n",
        "T_maxes = []\n",
        "for s in S:\n",
        "  maximun = np.max(s)\n",
        "  T_maxes.append([i for i,x in enumerate(s) if x == maximun][-1]) #this is to find a position in a list.\n",
        "plt.figure(figsize=(8, 6))\n",
        "plt.hist(T_maxes, bins=30, color='skyblue')\n",
        "plt.xlabel('Random Variables $T_{max}$', fontsize=14)\n",
        "plt.ylabel('Frequency', fontsize=14)\n",
        "plt.title('Histogram of $T_{max}$ of N random Walks ', fontsize=16)\n",
        "plt.grid(True, linestyle='--', alpha=0.7)\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 576
        },
        "id": "2DRgvrfq37cE",
        "outputId": "774b1a73-076d-482d-a92a-f0423c9e0208"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 800x600 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "from sys import hash_info\n",
        "# Create histogram\n",
        "counts, bins = np.histogram(T_maxes, bins=1000)\n",
        "print(T_maxes)\n",
        "# Print histogram data as a list\n",
        "histogram_list = list(zip(bins[:-1], counts))\n",
        "print(histogram_list)\n",
        "print(histogram_list[1][1])\n",
        "Cumulative = []\n",
        "Sum=0\n",
        "for i in range (len(histogram_list)):\n",
        "  Sum = Sum + histogram_list[i][1]\n",
        "  Cumulative.append(Sum)\n",
        "#print(Cumulative)\n",
        "Tzeros = np.arange(T)\n",
        "\n",
        "# Plotting the result with improvements\n",
        "plt.figure(figsize=(8, 6))  # Larger figure for better clarity\n",
        "plt.plot(Tzeros, Cumulative, label='Cumulative Distribution of Tmax', color='c', linewidth=2)\n",
        "\n",
        "# Professional labels\n",
        "plt.xlabel('$T_{max}$', fontsize=14, labelpad=10)  # Making labels larger than axis\n",
        "plt.ylabel(r'$Cumulative$ $Frequencies$', fontsize=14, labelpad=10)\n",
        "plt.title('Cumulative Distribution of Tmax', fontsize=16, pad=15)\n",
        "\n",
        "# Adjusting axis and tick label size\n",
        "plt.xticks(fontsize=12)\n",
        "plt.yticks(fontsize=12)\n",
        "\n",
        "# Add a grid and legend\n",
        "plt.grid(True)\n",
        "plt.legend(fontsize=12)\n",
        "\n",
        "# Show the plot\n",
        "plt.tight_layout()\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 681
        },
        "id": "VDGuRB2Z4igh",
        "outputId": "b0b7bc07-f792-4eb1-a937-7b6b4bd4933a"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
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(755.0, 0), (756.0, 0), (757.0, 1), (758.0, 0), (759.0, 0), (760.0, 0), (761.0, 0), (762.0, 0), (763.0, 1), (764.0, 1), (765.0, 2), (766.0, 1), (767.0, 1), (768.0, 0), (769.0, 1), (770.0, 0), (771.0, 1), (772.0, 1), (773.0, 0), (774.0, 1), (775.0, 0), (776.0, 1), (777.0, 0), (778.0, 1), (779.0, 2), (780.0, 2), (781.0, 2), (782.0, 1), (783.0, 0), (784.0, 1), (785.0, 0), (786.0, 1), (787.0, 0), (788.0, 2), (789.0, 1), (790.0, 0), (791.0, 1), (792.0, 3), (793.0, 0), (794.0, 2), (795.0, 0), (796.0, 1), (797.0, 1), (798.0, 0), (799.0, 0), (800.0, 1), (801.0, 1), (802.0, 0), (803.0, 1), (804.0, 0), (805.0, 0), (806.0, 1), (807.0, 1), (808.0, 1), (809.0, 0), (810.0, 0), (811.0, 0), (812.0, 0), (813.0, 0), (814.0, 1), (815.0, 0), (816.0, 0), (817.0, 0), (818.0, 2), (819.0, 1), (820.0, 0), (821.0, 2), (822.0, 0), (823.0, 1), (824.0, 0), (825.0, 0), (826.0, 0), (827.0, 0), (828.0, 1), (829.0, 2), (830.0, 1), (831.0, 0), (832.0, 3), (833.0, 0), (834.0, 1), (835.0, 1), (836.0, 1), (837.0, 0), (838.0, 1), (839.0, 0), (840.0, 3), (841.0, 0), (842.0, 0), (843.0, 1), (844.0, 0), (845.0, 2), (846.0, 0), (847.0, 1), (848.0, 2), (849.0, 2), (850.0, 0), (851.0, 1), (852.0, 2), (853.0, 0), (854.0, 0), (855.0, 2), (856.0, 2), (857.0, 2), (858.0, 2), (859.0, 0), (860.0, 0), (861.0, 0), (862.0, 0), (863.0, 1), (864.0, 0), (865.0, 0), (866.0, 1), (867.0, 1), (868.0, 1), (869.0, 3), (870.0, 0), (871.0, 1), (872.0, 0), (873.0, 1), (874.0, 1), (875.0, 0), (876.0, 2), (877.0, 2), (878.0, 3), (879.0, 1), (880.0, 0), (881.0, 1), (882.0, 2), (883.0, 0), (884.0, 0), (885.0, 2), (886.0, 3), (887.0, 3), (888.0, 1), (889.0, 0), (890.0, 0), (891.0, 0), (892.0, 1), (893.0, 1), (894.0, 1), (895.0, 3), (896.0, 2), (897.0, 3), (898.0, 0), (899.0, 1), (900.0, 0), (901.0, 3), (902.0, 1), (903.0, 0), (904.0, 1), (905.0, 0), (906.0, 1), (907.0, 2), (908.0, 1), (909.0, 1), (910.0, 0), (911.0, 0), (912.0, 0), (913.0, 2), (914.0, 0), (915.0, 2), (916.0, 0), (917.0, 1), (918.0, 1), (919.0, 0), (920.0, 2), (921.0, 4), (922.0, 1), (923.0, 0), (924.0, 3), (925.0, 1), (926.0, 0), (927.0, 0), (928.0, 2), (929.0, 2), (930.0, 1), (931.0, 4), (932.0, 0), (933.0, 0), (934.0, 1), (935.0, 1), (936.0, 2), (937.0, 0), (938.0, 1), (939.0, 5), (940.0, 4), (941.0, 1), (942.0, 3), (943.0, 2), (944.0, 1), (945.0, 1), (946.0, 0), (947.0, 2), (948.0, 1), (949.0, 1), (950.0, 2), (951.0, 0), (952.0, 1), (953.0, 1), (954.0, 4), (955.0, 2), (956.0, 2), (957.0, 1), (958.0, 0), (959.0, 0), (960.0, 1), (961.0, 2), (962.0, 1), (963.0, 2), (964.0, 0), (965.0, 0), (966.0, 2), (967.0, 1), (968.0, 1), (969.0, 1), (970.0, 3), (971.0, 1), (972.0, 1), (973.0, 0), (974.0, 2), (975.0, 1), (976.0, 5), (977.0, 2), (978.0, 2), (979.0, 1), (980.0, 1), (981.0, 3), (982.0, 1), (983.0, 4), (984.0, 1), (985.0, 3), (986.0, 1), (987.0, 4), (988.0, 3), (989.0, 1), (990.0, 3), (991.0, 5), (992.0, 3), (993.0, 2), (994.0, 1), (995.0, 5), (996.0, 13), (997.0, 9), (998.0, 7), (999.0, 42)]\n",
            "6\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 800x600 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "Tzeros = np.linspace(0, 1, T)  # Ensure values between 0 and 1\n",
        "def arc_sine(x):\n",
        "  return (2/np.pi)*np.arcsin(np.sqrt(x))\n",
        "\n",
        "Cumulative_Dist = arc_sine(Tzeros)\n",
        "\n",
        "# Plotting the result with improvements\n",
        "plt.figure(figsize=(8, 6))  # Larger figure for better clarity\n",
        "plt.plot(Tzeros, Cumulative_Dist, label='Arsine Distribution', color='c', linewidth=2)\n",
        "\n",
        "# Professional labels\n",
        "plt.xlabel('$X = T_{max}/T$', fontsize=14, labelpad=12)  # Making labels larger than axis\n",
        "plt.ylabel(r'$P(T_{max} \\leq x)$', fontsize=14, labelpad=10)\n",
        "plt.title('Arcsine Distribution', fontsize=16, pad=15)\n",
        "\n",
        "# Adjusting axis and tick label size\n",
        "plt.xticks(fontsize=12)\n",
        "plt.yticks(fontsize=12)\n",
        "\n",
        "# Add a grid and legend\n",
        "plt.grid(True)\n",
        "plt.legend(fontsize=12)\n",
        "\n",
        "# Show the plot\n",
        "plt.tight_layout()\n",
        "plt.show()"
      ],
      "metadata": {
        "id": "JNj3W7tg4nFC",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 607
        },
        "outputId": "e7d562ca-803f-4058-e6ac-b3b53d07010c"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 800x600 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        " **Collective Random Walkers**"
      ],
      "metadata": {
        "id": "h_BWTOSTPOTH"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "def random_steps(p, N):\n",
        "    steps = np.random.choice([1, -1], size=N, p=[p, 1-p])\n",
        "    return steps\n",
        "\n",
        "def coupling(s_t, epsilon):\n",
        "    global_influence = np.mean(s_t)\n",
        "    s_t_plus_1 = (1 - epsilon) * s_t + epsilon * global_influence\n",
        "    return s_t_plus_1\n",
        "\n",
        "# Parámetros\n",
        "N = 20\n",
        "T = 100\n",
        "p = 0.5\n",
        "epsilon =  0.8 # Factor de acoplamiento\n",
        "\n",
        "S_walkers = np.zeros((N, T))\n",
        "\n",
        "for t in range(1, T):\n",
        "    delta_s = random_steps(p, N)\n",
        "    s_t = S_walkers[:, t-1] + delta_s\n",
        "    s_t_coupled = coupling(s_t, epsilon)\n",
        "    S_walkers[:, t] = s_t_coupled\n",
        "plt.figure(figsize=(10, 6))\n",
        "for i in range(N):\n",
        "    plt.plot(S_walkers[i], alpha=0.5)\n",
        "\n",
        "plt.title(f'{N} walkers')\n",
        "plt.xlabel('Time')\n",
        "plt.ylabel('Position')\n",
        "plt.grid(True)\n",
        "plt.show()\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 564
        },
        "id": "yP8oJrKUWcem",
        "outputId": "d38a9736-f7e3-4682-eec3-b3ef9b1c3c77"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1000x600 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "import networkx as nx\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "N = 5  # Number of nodes\n",
        "\n",
        "G = nx.complete_graph(N)\n",
        "\n",
        "plt.figure(figsize=(8, 8))\n",
        "pos = nx.circular_layout(G)  # Position nodes in a circular layout for better visualization\n",
        "nx.draw(G, pos, with_labels=True, node_color='lightblue', node_size=700, font_size=10, edge_color='gray', linewidths=1.5)\n",
        "\n",
        "plt.title(f'Globally Coupled Network with {N} Nodes')\n",
        "plt.show()\n",
        "\n"
      ],
      "metadata": {
        "id": "uIODOIm0XJOy",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 859
        },
        "outputId": "048de3cd-3546-46be-dc5c-4827307f00ba"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 800x800 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    }
  ],
  "metadata": {
    "colab": {
      "provenance": []
    },
    "kernelspec": {
      "display_name": "Python 3",
      "name": "python3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "nbformat": 4,
  "nbformat_minor": 0
}