Results 131 to 140 of about 5,123,051 (393)
A non-backtracking Polya's theorem [PDF]
arXiv, 2016 P\'olya's random walk theorem states that a random walk on a $d$-dimensional grid is recurrent for $d=1,2$ and transient for $d\ge3$. We prove a version of P\'olya's random walk theorem for non-backtracking random walks. Namely, we prove that a non-backtracking random walk on a $d$-dimensional grid is recurrent for $d=2$ and transient for $d=1$, $d\ge3$
arxiv
Journal of the Royal Society Interface, 2008 Mathematical modelling of the movement of animals, micro-organisms and cells is of great relevance in the fields of biology, ecology and medicine. Movement models can take many different forms, but the most widely used are based on the extensions of ...
Edward A. Codling, M. Plank, S. Benhamou
semanticscholar +1 more source
On the trace of branching random walks [PDF]
, 2010 We study branching random walks on Cayley graphs. A first result is that the trace of a transient branching random walk on a Cayley graph is a.s. transient for the simple random walk. In addition, it has a.s.
Benjamini, Itai, Müller, Sebastian
core
Ballistic random walks in random environment at low disorder
, 2003 We consider random walks in a random environment of the type p_0+\gamma\xi_z, where p_0 denotes the transition probabilities of a stationary random walk on \BbbZ^d, to nearest neighbors, and \xi_z is an i.i.d. random perturbation.
Sabot, Christophe
core +5 more sources
Molecular Oncology, Volume 19, Issue 4, Page 1075-1091, April 2025.Pancreatic ductal adenocarcinoma patient‐derived xenografts (PDAC‐PDXs) engrafted orthotopically in the pancreas of immunodeficient mice retain the main genetic and histopathological characteristics of the original human tumors. A 294 stroma gene signature differentiates between PDAC‐PDXs that are responsive to gemcitabine plus nab‐paclitaxel versus ...
Alessia Anastasia +13 more
wiley +1 more source
Self-avoiding pruning random walk on signed network
New Journal of Physics, 2019 A signed network represents how a set of nodes are connected by two logically contradictory types of links: positive and negative links. In a signed products network, two products can be complementary (purchased together) or substitutable (purchased ...
Huijuan Wang +3 more
doaj +1 more source
A random walk approximation to fractional Brownian motion [PDF]
arXiv, 2007 We present a random walk approximation to fractional Brownian motion where the increments of the fractional random walk are defined as a weighted sum of the past increments of a Bernoulli random walk.
arxiv
, 2010 A random Heegaard splitting is a 3-manifold obtained by using a random walk of length n on the mapping class group as the gluing map between two handlebodies.
Maher, Joseph
core +1 more source
Exploration of heterogeneity and recurrence signatures in hepatocellular carcinoma
Molecular Oncology, EarlyView.This study leveraged public datasets and integrative bioinformatic analysis to dissect malignant cell heterogeneity between relapsed and primary HCC, focusing on intercellular communication, differentiation status, metabolic activity, and transcriptomic profiles.
Wen‐Jing Wu +15 more
wiley +1 more source
Low-dimensional lonely branching random walks die out [PDF]
arXiv, 2017 The lonely branching random walks on ${\mathbb Z}^d$ is an interacting particle system where each particle moves as an independent random walk and undergoes critical binary branching when it is alone. We show that if the symmetrized walk is recurrent, lonely branching random walks die out locally.
arxiv