CAS: Mathematics & Statistics: Scholarly Papers
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On the Kottwitz conjecture for local Shimura varieties
Kottwitz’s conjecture describes the contribution of a supercuspidal represention to the cohomology of a local Shimura variety in terms of the local Langlands correspondence. Using a LefschetzVerdier fixedpoint formula, ... 
Lagrangian fibers in GelfandCetlin systems
Motivated by the study of NishinouNoharaUeda on the Floer thoery of GelfandCetlin systems over complex partial flag manifolds, we provide a complete description of the topology of GelfandCetlin fibers. We prove that ... 
Detecting nondisplaceable toric fibers on compact toric manifolds via tropicalizations
We provide a combinatorial way to locate nondisplaceable Lagrangian toric fibers on any compact toric manifold. By taking the intersection of certain tropicalizations coming from its moment polytope, one can detect all ... 
Monotone Lagrangians in flag varieties
In this paper, we give a formula for the Maslov index of a gradient holomorphic disc, which is a relative version of the Chern number formula of a gradient holomorphic sphere for a Hamiltonian S1action. Using the formula, ... 
Modeling the dynamics of glacial cycles
This article is concerned with the dynamics of glacial cycles observed in the geological record of the Pleistocene Epoch. It focuses on a conceptual model proposed by Maasch and Saltzman [J. Geophys. Res.,95, D2 (1990), ... 
Why we (usually) don't have to worry about multiple comparisons
(2012)Applied researchers often find themselves making statistical inferences in settings that would seem to require multiple comparisons adjustments. We challenge the Type I error paradigm that underlies these corrections. ... 
Biophysical assay for tethered signaling reactions reveals tethercontrolled activity for the phosphatase SHP1
(201703)Tethered enzymatic reactions are ubiquitous in signaling networks but are poorly understood. A previously unreported mathematical analysis is established for tethered signaling reactions in surface plasmon resonance (SPR). ... 
Reactive boundary conditions as limits of interaction potentials for Brownian and Langevin dynamics
(SIAM PUBLICATIONS, 20160101) 
Transient rapamycin treatment can increase lifespan and healthspan in middleaged mice
(20160803)The FDA approved drug rapamycin increases lifespan in rodents and delays agerelated dysfunction in rodents and humans. Nevertheless, important questions remain regarding the optimal dose, duration, and mechanisms of action ... 
Uniform asymptotic approximation of diffusion to a small target: Generalized reaction models
(201610)The diffusion of a reactant to a binding target plays a key role in many biological processes. The reaction radius at which the reactant and target may interact is often a small parameter relative to the diameter of the ...