This paper is concerned with asymptotic behavior (at zero and at infinity) of the favorite
points of Lévy processes. By exploring Molchan's idea for deriving lower tail probabilities of …

In this paper we consider the distribution of the location of the path supremum in a fixed
interval for self-similar processes with stationary increments. A point process is constructed …

We propose a unified framework for random locations exhibiting some probabilistic
symmetries such as stationarity, self-similarity, etc. A theorem of Noether's type is proved …

We consider a family of random locations, called intrinsic location functionals, of periodic
stationary processes. This family includes but is not limited to the location of the path …

Noether theorem for random locations Page 1 Previous results Basic Setting Main results
References Noether theorem for random locations Jie Shen (Joint work with Shunlong Luo, Yi …

We study the classical XY model in bounded domains of Zd with Dirichlet boundary
conditions. We prove that when the temperature goes to zero faster than a certain rate as the …

In this thesis, we address three topics in the area of compatibility for probability measures.
By" compatibility", we mean the problems concerning the existence of random …

This paper is concerned with asymptotic behavior (at zero and at infinity) of the favorite
points of Lévy processes. By exploring Molchan's idea for deriving lower tail probabilities of …