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In this talk we show that bounded harmonic functions are constant on gradient shrinking Ricci solitons with CSC by frequency function method. As an application, we show that the space of harmonic func...
We consider the genealogical tree of a stationary continuous state branching process with immigration. For a sub-critical stable branching mechanism, we consider the genealogical tree of the extant po...
In this talk, we discuss the positivity of complete intersections of nef classes, including sufficient and necessary characterizations of the hard Lefschetz property on a compact complex torus and the...
Modeling non-commutative phenomena in finite dimensional matrix algebras is a central theme of the program Quantitative Linear Algebra. This workshop will focus on a variety of concrete questions aro...
The International Conference on Statistical Properties of Nonequilibrium Dynamical Systems will be held in the South University of Science and Technology of China (SUSTC) in Shenzhen, China, from July...
In [12] we studied PGL(n; C)-representations of a 3-manifold via a generalization of Thurston's gluing equations. Neumann has proved some symplectic properties of Thurston's gluing equations that pla...
In this paper we give a sharp estimate on the norm of the scaling operator Uλf(x) = f(λx) acting on the weighted modulation spaces Mp,q s,t (Rd). In particular, we recover and extend recent results by...
We prove versions of the strong Szëgo limit theorem for certain classes of pseudodifferential operators defined on the Sierpiński gasket. Ourresults used in a fundamental way the existence of loc...
In this paper we study Brownian zeroes in the neighborhood of which one can observe non-typical growth rate of Brownian excursions. We interprete the multifractal curve for the Brownian zeroes calcul...
We study compact group extensions of hyperbolic diffeomorphisms. We relate mixing properties of such extensions with accessibility properties of their stable and unstable laminations. We show that g...
We consider a stochastic flow driven by a finite-dimensional Brownian motion. We show that almost every realization of such a flow exhibits strong statistical properties such as th...
First return and first hitting times, local times and first intersection times are studied for planar finite horizon Lorentz processes with a periodic configuration of scatte...

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