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We first consider positive classical solutions to a semilinear heat equation and discuss the associated Liouville-type theorems and their consequences on a priori estimates of solutions (in particular...
We first consider positive classical solutions to a semilinear heat equation and discuss the associated Liouville-type theorems and their consequences on a priori estimates of solutions (in particular...
We single out a notion of staticity which applies to any domain in hyperbolic space whose boundary is a non-compact totally umbilical hypersurface. For (time-symmetric) initial data sets modeled at in...
In this talk I will briefly introduce some Paley-Wiener type theorems in the Clifford algebra setting. The PW type theorems are related to a decomposition of some function spaces. Using the PW type th...
安徽师范大学数学计算机科学学院概率论与数理统计英文课件Chapter4 Limit Theorems
In this paper, we investigate the pinching phenomena of the tracefree second fundamental form of complete self-shrinkers of higher codimension. Firstly, assuming the mean curvature is nonzero everywhe...
安徽师范大学概率论与数理统计课件Chapter4 Limit Theorems
We use the existence of localized eigenfunctions of the Laplacian on the Sierpinski gasket (SG) to formulate and prove analogues of the strong Szego limit theorem in this fractal setting.Furthermore, ...
Universality theorems for coniguration spaces of planar linkages;
We show that special cycles generate a large part of the cohomology of locally symmetric spaces associated to orthogonal groups. We prove in particular that classes of totally geodesic submanifolds ge...
LIMIT THEOREMS FOR DISPERSING BILLIARDS WITH CUSPS     Dispersing billiards  Sinai billiards  cusps       font style='font-size:12px;'> 2015/9/29
Dispersing billiards with cusps are deterministic dynamical systems with a mild degree of chaos, exhibiting “intermittent” behavior that alternates between regular and chaotic patterns. Their statisti...
We study the asymptotic behaviour of occupation times of a transient random walk in a quenched random environment on a strip in a sub-di usive regime. The asymptotic behaviour of hitting times, whic...
Local Limit Theorems for Random Walks in a 1D Random Environment     RWRE  quenched random environments       font style='font-size:12px;'> 2015/9/29
We consider random walks (RW) in a one-dimensional i.i.d. random environment with jumps to the nearest neighbours. For almost all environments, we prove a quenched Local Limit Theorem (LLT) for the...
It is well known that random walks in one dimensional random environment can exhibit subdiffusive behavior due to presence of traps. In this paper we show that the passage times of diffe...
Limit theorems for toral translations     toral translations  Limit       font style='font-size:12px;'> 2015/9/29
One of the surprising discoveries of dynamical systems theory is that many deterministic systems with non-zero Lyapunov exponents satisfy the same limit theorems as the sums of independent random v...

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