2,102 research outputs found
Domain Representations Induced by Dyadic Subbases
We study domain representations induced by dyadic subbases and show that a
proper dyadic subbase S of a second-countable regular space X induces an
embedding of X in the set of minimal limit elements of a subdomain D of
. In particular, if X is compact, then X is a retract of
the set of limit elements of D
Criteria for strong and weak random attractors
The theory of random attractors has different notions of attraction, amongst
them pullback attraction and weak attraction. We investigate necessary and
sufficient conditions for the existence of pullback attractors as well as of
weak attractors
Invariant Stein domains in Stein symmetric spaces and a non-linear complex convexity theorem
We prove a complex version of Kostant's non-linear convexity theorem.
Applications to the construction of G-invariant Grauert tubes of non-compact
Riemannian symmetric G/K spaces are given.Comment: 9 page
Sato-Tate equidistribution for families of Hecke-Maass forms on SL(n,R)/SO(n)
We establish the Sato-Tate equidistribution of Hecke eigenvalues on average
for families of Hecke--Maass cusp forms on SL(n,R)/SO(n). For each of the
principal, symmetric square and exterior square L-functions we verify that the
families are essentially cuspidal and deduce the level distribution with
restricted support of the low-lying zeros. We also deduce average estimates
toward Ramanujan
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