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20102026
most citedGeometric Brownian Motion under Stochastic Resetting: A Stationary yet Non-ergodic Process

74 citations · 880 across the 39 of their papers we have counts for

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Showing 2020Show all

6 papers · 1 filter

cond-mat.stat-mech2020★ 37 cited

Continuous time random walks under Markovian resetting

Vicenç Méndez, Axel Masó-Puigdellosas, Trifce Sandev +1

We investigate the effects of markovian resseting events on continuous time random walks where the waiting times and the jump lengths are random variables distributed according to…

q-fin.PR2020★ 65 cited

Generalised geometric Brownian motion: Theory and applications to option pricing

Viktor Stojkoski, Trifce Sandev, Lasko Basnarkov +2

Classical option pricing schemes assume that the value of a financial asset follows a geometric Brownian motion (GBM). However, a growing body of studies suggest that a simple GBM…

cond-mat.stat-mech2020★ 19 cited

First encounters on Bethe Lattices and Cayley Trees

Junhao Peng, Trifce Sandev, Ljupco Kocarev

In this work we consider the first encounter problems between a fixed and/or mobile target A and a moving trap B on Bethe Lattices and Cayley trees. The survival probability (SP) o…

cond-mat.stat-mech2020★ 52 cited

The generalized Cattaneo (telegrapher's) equation and corresponding random walks

K. Górska, A. Horzela, E. K. Lenzi +2

The various types of generalized Cattaneo, called also telegrapher's equation, are studied. We find conditions under which solutions of the equations considered so far can be recog…

cond-mat.stat-mech2020★ 48 cited

Stochastic resetting on comb-like structures

Viktor Domazetoski, Axel Masó-Puigdellosas, Trifce Sandev +3

We study a diffusion process on a three-dimensional comb under stochastic resetting. We consider three different types of resetting: global resetting from any point in the comb to…

cond-mat.stat-mech2020★ 27 cited

Quenched and Annealed Disorder Mechanisms in Comb-Models with Fractional Operators

A. A. Tateishi, H. V. Ribeiro, T. Sandev +2

Recent experimental findings on anomalous diffusion have demanded novel models that combine annealed (temporal) and quenched (spatial or static) disorder mechanisms. The comb-model…