Boundary representations of locally compact hyperbolic groups
Abstract We develop the theory of Patterson–Sullivan measures for locally compact hyperbolic groups. This theory associates to certain left‐invariant metrics on the group measures on its boundary. Next, we establish irreducibility of the resulting (unitary) Koopman representations for second countable, nonelementary, unimodular locally compact ...
Michael Glasner
wiley +1 more source
An exponential growth condition in H^2 for the pullback attractor of a non-autonomous reaction-diffusion equation [PDF]
Some exponential growth results for the pullback attractor of a reaction-diffusion when time goes to ¡1 are proved in this paper. First, a general result about Lp\H1 0 exponential growth is established.
Anguiano Moreno, María +2 more
core
Scaling solution, radion stabilization, and initial condition for brane-world cosmology [PDF]
We propose a new, self-consistent and dynamical scenario which gives rise to well-defined initial conditions for five-dimensional brane-world cosmologies with radion stabilization.
A. Aurilia +59 more
core +1 more source
Mirror symmetry, Laurent inversion, and the classification of Q$\mathbb {Q}$‐Fano threefolds
Abstract We describe recent progress in a program to understand the classification of three‐dimensional Fano varieties with Q$\mathbb {Q}$‐factorial terminal singularities using mirror symmetry. As part of this we give an improved and more conceptual understanding of Laurent inversion, a technique that sometimes allows one to construct a Fano variety X$
Tom Coates +2 more
wiley +1 more source
Upper semicontinuity of pullback attractors for a nonautonomous damped wave equation
In this paper, we study the local uniformly upper semicontinuity of pullback attractors for a strongly damped wave equation. In particular, under some proper assumptions, we prove that the pullback attractor { A ε ( t ) } t ∈ R $\{A_{\varepsilon }(t)\}_ ...
Yonghai Wang, Minhui Hu, Yuming Qin
doaj +1 more source
Pullback Attractors for Stochastic Heat Equations in Materials with Memory [PDF]
We study the asymptotic behaviour of a non-autonomous stochastic reaction-diffusion equation with memory. In fact, we prove the existence of a random pullback attractor for our stochastic parabolic PDE with memory. The randomness enters in our model as
Caraballo Garrido, Tomás +2 more
core +1 more source
Real models for the framed little n$n$‐disks operads
Abstract We study the action of the orthogonal group on the little n$n$‐disks operads. As an application we provide small models (over the reals) for the framed little n$n$‐disks operads. It follows in particular that the framed little n$n$‐disks operads are formal (over the reals) for n$n$ even and coformal for all n$n$.
Anton Khoroshkin, Thomas Willwacher
wiley +1 more source
Considered here is the first initial boundary value problem for a semilinear degenerate parabolic equation involving the Grushin operator in a bounded domain Ω.
Nguyen Dinh Binh
doaj +1 more source
On non-autonomously forced Burgers equation with periodic and Dirichlet boundary conditions
We study the non-autonomously forced Burgers equation $$ u_t(x,t) + u(x,t)u_x(x,t) - u_{xx}(x,t) = f(x,t) $$ on the space interval $(0,1)$ with two sets of the boundary conditions: the Dirichlet and periodic ones.
Kalita, Piotr, Zgliczyński, Piotr
core +1 more source
Tischler graphs of critically fixed rational maps and their applications [PDF]
A rational map $f:\widehat{\mathbb{C}}\to\widehat{\mathbb{C}}$ on the Riemann sphere $\widehat{\mathbb{C}}$ is called critically fixed if each critical point of $f$ is fixed under $f$.
Hlushchanka, Mikhail
core +3 more sources

