CAS: Mathematics & Statistics: Scholarly Papers
Browse by:
Recently Added

Congruences with Eisenstein series and muinvariants
(Foundation Compositio Mathematica, 201905)We study the variation of invariants in Hida families with residually reducible Galois representations. We prove a lower bound for these invariants which is often expressible in terms of the adic zeta function. This lower ... 
A multiple stochastic integral criterion for almost sure limit theorems
(20090415)In this paper, we study almost sure entral limit theorems for multiple stohasti integrals and provide a riterion based on the kernel of these multiple integrals. We apply our result to normalized partial sums of Hermite ... 
Geodesic paths for quantum manybody systems
(American Physical Society, 20160619)We propose a method to obtain optimal protocols for adiabatic groundstate preparation near the adiabatic limit, extending earlier ideas from [D. A. Sivak and G. E. Crooks, Phys. Rev. Lett. 108, 190602 (2012)] to quantum ... 
Enabling adiabatic passages between disjoint regions in parameter space through topological transitions
(AMER PHYSICAL SOC, 20160909)We explore topological transitions in parameter space in order to enable adiabatic passages between regions adiabatically disconnected within a given parameter manifold. To this end, we study the Hamiltonian of two coupled ... 
Large deviations and averaging for systems of slow–fast reaction–diffusion equations
(20171007)We study a large deviation principle for a system of stochastic reactiondiffusion equations (SRDEs) with a separation of fast and slow components and small noise in the slow component. The derivation of the large deviation ... 
Nonlinear stability of source defects in oscillatory media
(20180221)In this paper, we prove the nonlinear stability under localized perturbations of spectrally stable timeperiodic source defects of reactiondiffusion systems. Consisting of a core that emits periodic wave trains to each ... 
Localized radial roll patterns in higher space dimensions
(2018)Localized roll patterns are structures that exhibit a spatially periodic profile in their center. When following such patterns in a system parameter in one space dimension, the length of the spatial interval over which ... 
Equivalences and counterexamples between several definitions of the uniform large deviations principle
(20180918)This paper explores the equivalences between four definitions of uniform large deviations principles and uniform Laplace principles found in the literature. Counterexamples are presented to illustrate the differences between ... 
Rigorous justification of Taylor dispersion via center manifolds and hypocoercivity
(2018)Taylor diffusion (or dispersion) refers to a phenomenon discovered experimentally by Taylor in the 1950s where a solute dropped into a pipe with a background shear flow experiences diffusion at a rate proportional to 1/ν, ... 
Uniform large deviation principles for Banach space valued stochastic differential equations
(20180305)We prove a large deviation principle (LDP) for a general class of Banach space valued stochastic differential equations (SDE) that is uniform with respect to initial conditions in bounded subsets of the Banach space. A key ...