24 citations · 31 across the 7 of their papers we have counts for
8 papers
Generalized Gaussian Estimates and Local Limit Theorems for Discrete Convolution Powers of Complex Functions: The -dimensional case
Pedro H. Alves, Evan Randles, José M. Valdovinos
We establish generalized Gaussian estimates and local limit theorems with cumulants, up to any order of accuracy, with sharp Gaussian-type error for the convolution powers of certa…
On-diagonal asymptotics for heat kernels of a class of inhomogeneous partial differential operators
Evan Randles, Laurent Saloff-Coste
We consider certain constant-coefficient differential operators on with positive-definite symbols. Each such operator with symbol defines a semigroup $e^{-tΛ…
Local Limit Theorems for Complex Functions on
Evan Randles
The local (central) limit theorem precisely describes the behavior of iterated convolution powers of a probability distribution on the -dimensional integer lattice, $\mathbb{Z}^…
A generalized polar-coordinate integration formula with applications to the study of convolution powers of complex-valued functions on
Huan Q. Bui, Evan Randles
In this article, we consider a class of functions on , called positive homogeneous functions, which interact well with certain continuous one-parameter groups of (gen…
Davies' method for heat-kernel estimates: An extension to the semi-elliptic setting
Evan Randles, Laurent Saloff-Coste
We consider a class of constant-coefficient partial differential operators on a finite-dimensional real vector space which exhibit a natural dilation invariance. Typically, these o…
Positive-homogeneous operators, heat kernel estimates and the Legendre-Fenchel transform
Evan Randles, Laurent Saloff-Coste
We consider a class of homogeneous partial differential operators on a finite-dimensional vector space and study their associated heat kernels. The heat kernels for this general cl…