Normal Variance Mixture with Arcsine Law of an Interpolating Walk Between Persistent Random Walk and Quantum Walk.

Saori Yoshino, Honoka Shiratori, Tomoki Yamagami, Ryoichi Horisaki, Etsuo Segawa

Abstract read

In one paragraph

Article in Entropy (Basel, Switzerland), 2025. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.

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0citing papers in PubMed

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1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

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3 · Its place in the literature

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0 citing papers in PubMed.

No citing paper in PubMed yet.

4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

5 authors.

Saori YoshinoGraduate School of Environment and Information Sciences, Yokohama National University, Hodogaya, Yokohama 240-8501, Japan.

Honoka ShiratoriDepartment of Information Physics and Computing, The University of Tokyo, Bunkyo, Tokyo 113-8656, Japan.

Tomoki YamagamiDepartment of Information Physics and Computing, The University of Tokyo, Bunkyo, Tokyo 113-8656, Japan.ORCID 0000-0003-3003-1935

Ryoichi HorisakiDepartment of Information Physics and Computing, The University of Tokyo, Bunkyo, Tokyo 113-8656, Japan.

Etsuo SegawaGraduate School of Environment and Information Sciences, Yokohama National University, Hodogaya, Yokohama 240-8501, Japan.

Funding

Japan Society for the Promotion of Science 22H05197Japan Society for the Promotion of Science 23KJ0384.Japan Society for the Promotion of Science 24K06863Japan Society for the Promotion of Science 24KJ0864.

6 · The paper itself

Abstract

We propose a model that interpolates between quantum walks and persistent (correlated) random walks using one parameter on the one-dimensional lattice. We show that the limit distribution is described by the normal variance mixture with the arcsine law.

Indexed as

discrete-time stochastic quantum walklimit theorempersistent (or correlated) random walk

Identifiers

PMID40724387

DOI10.3390/e27070670

PMCPMC12294123

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.