539 citations · 606 across the 23 of their papers we have counts for
23 papers
Stochastic motions of the two-dimensional many-body delta-Bose gas, I: One- motions
Yu-Ting Chen
This paper is the first in a series devoted to constructing stochastic motions for the two-dimensional -body delta-Bose gas for all integers and establishing the assoc…
Stochastic motions of the two-dimensional many-body delta-Bose gas, III: Path integrals
Yu-Ting Chen
This paper is the third in a series devoted to constructing stochastic motions for the two-dimensional -body delta-Bose gas for all integers and establishing the assoc…
Stochastic motions of the two-dimensional many-body delta-Bose gas, II: Many- motions
Yu-Ting Chen
This paper is the second in a series devoted to constructing stochastic motions for the two-dimensional -body delta-Bose gas for all integers and establishing the asso…
Asymptotic exponential moments of two-dimensional additive functionals above subcriticality
Yu-Ting Chen
We introduce new asymptotic formulas for the exponential moments of rescaled additive functionals of two-dimensional Brownian motion, extending the analysis to parameter regimes th…
Semimartingale characteristics of the two-dimensional stochastic heat equation at criticality
Yu-Ting Chen
We characterize the sample-path structure of the two-dimensional stochastic heat equation at criticality. The main theorems provide a complete, pathwise description of its semimart…
Stochastic motions of the two-dimensional many-body delta-Bose gas, IV: Transformations of relative motions
Yu-Ting Chen
This paper is the last in a series devoted to constructing stochastic motions representing the two-dimensional -body delta-Bose gas for all integers via Feynman-Kac-ty…
Two-dimensional delta-Bose gas: skew-product relative motions
Yu-Ting Chen
We prove a Feynman-Kac-type formula for the relative motion of the two-body delta-Bose gas in two dimensions. The multiplicative functional is not exponential, and the process is a…
The critical 2D delta-Bose gas as mixed-order asymptotics of planar Brownian motion
Yu-Ting Chen
We consider the 2D delta-Bose gas by a smooth mollification of the delta potential, where the coupling constant is in the critical window. The main result proves that for two parti…
The replicator equation in stochastic spatial evolutionary games
Yu-Ting Chen
We study the multi-strategy stochastic evolutionary game with death-birth updating in expanding spatial populations of size . The model is a voter model perturbation.…
Convergence of the rescaled Whittaker stochastic differential equations and independent sums
Yu-Ting Chen
We study some SDEs derived from the limit of a 2D surface growth model called the -Whittaker process. The fluctuations are proven to exhibit Gaussian characteristics th…
Coexistence and duality in competing species models
Yu-Ting Chen, Matthias Hammer
We discuss some stochastic spatial generalizations of the Lotka--Volterra model for competing species. The generalizations take the forms of spin systems on general discrete sets a…
Rescaled Whittaker driven stochastic differential equations converge to the additive stochastic heat equation
Yu-Ting Chen
We study SDEs arising from limiting fluctuations in a -dimensional surface growth model called the Whittaker driven particle system, which is believed to be in the anisotrop…
Precise asymptotics of some meeting times arising from the voter model on large random regular graphs
Yu-Ting Chen
We consider two independent stationary random walks on large random regular graphs of degree with vertices. On these graphs, the exponential approximations of the mee…
Wright-Fisher diffusions for evolutionary games with death-birth updating
Yu-Ting Chen
We investigate spatial evolutionary games with death-birth updating in large finite populations. Within growing spatial structures subject to appropriate conditions, the density pr…
Universality of Ghirlanda-Guerra identities and spin distributions in mixed -spin models
Yu-Ting Chen
We prove universality of the Ghirlanda-Guerra identities and spin distributions in the mixed -spin models. The assumption for the universality of the identities requires exactly…
Weak atomic convergence of finite voter models toward Fleming-Viot processes
Yu-Ting Chen, J. Theodore Cox
We consider the empirical measures of multi-type voter models with mutation on large finite sets, and prove their weak atomic convergence in the sense of Ethier and Kurtz (1994) to…
Evolutionary dynamics on any population structure
Benjamin Allen, Gabor Lippner, Yu-Ting Chen +4
Evolution occurs in populations of reproducing individuals. The structure of a biological population affects which traits evolve. Understanding evolutionary game dynamics in struct…
Fixation probabilities for any configuration of two strategies on regular graphs
Yu-Ting Chen, Alex McAvoy, Martin A. Nowak
Population structure and spatial heterogeneity are integral components of evolutionary dynamics, in general, and of evolution of cooperation, in particular. Structure can promote t…
Approximating Laplace transforms of meeting times for some symmetric Markov chains
Yu-Ting Chen
We study distributions of meeting times for finite symmetric Markov chains. For Markov kernels defined on large state spaces which satisfy certain weak inhomogeneity in return prob…
On the convergence of densities of finite voter models to the Wright-Fisher diffusion
Yu-Ting Chen, Jihyeok Choi, J. Theodore Cox
We study voter models defined on large sets. Through a perspective emphasizing the martingale property of voter density processes, we prove that in general, their convergence to th…
Pathwise nonuniqueness for the SPDEs of some super-Brownian motions with immigration
Yu-Ting Chen
We prove pathwise nonuniqueness in the stochastic partial differential equations (SPDEs) for some one-dimensional super-Brownian motions with immigration. In contrast to a closely…
Sharp benefit-to-cost rules for the evolution of cooperation on regular graphs
Yu-Ting Chen
We study two of the simple rules on finite graphs under the death-birth updating and the imitation updating discovered by Ohtsuki, Hauert, Lieberman and Nowak [Nature 441 (2006) 50…
Smaller population size at the MRCA time for stationary branching processes
Yu-Ting Chen, Jean-François Delmas
We present an elementary model of random size varying population given by a stationary continuous state branching process. For this model we compute the joint distribution of: the…