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A Brief Study on Simple Random Walk in 1D

Part-II

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Abstract

In Part-I1 of this two-parted article, we discussed some aspects of symmetric and asymmetric random walk in 1D. The possibility that the walker might visit the starting point for the first time has been considered in the present part in detail.

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Suggested Reading

  1. Sven Erick Alm, Simple random walk, http://www2.nath.uu.se/∼sea/kurser/stokprocmn1/slumpvandring_eng.pdf.

  2. W. Feller, An Introduction to Probability Theory and Its Applications, Vol.1, 3rd Edition, John Wiley Sons,Inc. 1967.

  3. J. Novak, Polya’s random walk theorem, https://math.mit.edu/classes/18.095/lect2/notes.pdf.

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Acknowledgement

We sincerely acknowledge all valuable comments and suggestions made by the anonymous referee, which helped us improve the quality of the manuscript.

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Correspondence to Arka Bhattacharyya, Joydip Mitra or Satadal Bhattacharyya.

Additional information

Arka Bhattacharyya is a MSc. student at the Department of Physics, RKMVERI, Belur.

Joydip Mitra is Assistant Professor of Physics at the Scottish Church College, Kolkata.

Satadal Bhattacharyya is Associate Professor of Physics at the Scottish Church College, Kolkata.

See Resonance, Vol.28, No.6, pp.945–958. 2023.

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Bhattacharyya, A., Mitra, J. & Bhattacharyya, S. A Brief Study on Simple Random Walk in 1D. Reson 28, 1107–1116 (2023). https://doi.org/10.1007/s12045-023-1640-2

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  • DOI: https://doi.org/10.1007/s12045-023-1640-2

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