Zobrazeno 1 - 10
of 121
pro vyhledávání: '"Jakobson, Dmitry"'
In this paper, we study conformal invariants that arise from nodal sets and negative eigenvalues of conformally covariant operators on manifolds with boundary. We also consider applications to curvature prescription problems on manifolds with boundar
Externí odkaz:
http://arxiv.org/abs/1905.06136
Let $\Gamma$ be a convex co-compact discrete group of isometries of the hyperbolic plane $\mathbb{H}^2$, and $X=\Gamma\backslash \mathbb{H}^2$ the associated surface. In this paper we investigate the behaviour of resonances of the Laplacian for large
Externí odkaz:
http://arxiv.org/abs/1710.05666
Autor:
Jakobson, Dmitry, Naud, Frederic
For convex co-compact subgroups of SL2(Z) we consider the "congruence subgroups" for p prime. We prove a factorization formula for the Selberg zeta function in term of L-functions related to irreducible representations of the Galois group SL2(Fp) of
Externí odkaz:
http://arxiv.org/abs/1704.08546
Autor:
Dolgopyat, Dmitry, Jakobson, Dmitry
We discuss upper and lower bounds for the size of gaps in the length spectrum of negatively curved manifolds. For manifolds with algebraic generators for the fundamental group, we establish the existence of exponential lower bounds for the gaps. On t
Externí odkaz:
http://arxiv.org/abs/1602.04532
We show that zero is not an eigenvalue of the conformal Laplacian for generic Riemannian metrics. We also discuss non-compactness for sequences of metrics with growing number of negative eigenvalues of the conformal Laplacian.
Externí odkaz:
http://arxiv.org/abs/1511.08524
We study Laplace eigenvalues $\lambda_k$ on K\"ahler manifolds as functionals on the space of K\"ahler metrics with cohomologous K\"ahler forms. We introduce a natural notion of a $\lambda_k$-extremal K\"ahler metric and obtain necessary and sufficie
Externí odkaz:
http://arxiv.org/abs/1411.7725
Autor:
Naud, Frédéric, Jakobson, Dmitry
This papers deals with congruence subgroups of convex cocompact subgroups of PSL2(Z). We examine the behaviour of the resonance spectrum when the congruence parameter q goes to infinity: we show a lower bound for the counting function in discs and an
Externí odkaz:
http://arxiv.org/abs/1409.2809
Let G be a finite connected simple graph. We define the moduli space of conformal structures on G. We propose a definition of conformally covariant operators on graphs, motivated by [25]. We provide examples of conformally covariant operators, which
Externí odkaz:
http://arxiv.org/abs/1404.5690
Autor:
Clarke, Brian, Jakobson, Dmitry, Kamran, Niky, Silberman, Lior, Taylor, Jonathan, Canzani, Yaiza
We introduce Gaussian-type measures on the manifold of all metrics with a fixed volume form on a compact Riemannian manifold of dimension $\geq 3$. For this random model we compute the characteristic function for the $L^2$ (Ebin) distance to the refe
Externí odkaz:
http://arxiv.org/abs/1309.1348
Publikováno v:
American Journal of Mathematics, Volume 137, Number 4, August 2015, pp. 859-906
We analyze the semiclassical limit of spectral theory on manifolds whose metrics have jump-like discontinuities. Such systems are quite different from manifolds with smooth Riemannian metrics because the semiclassical limit does not relate to a class
Externí odkaz:
http://arxiv.org/abs/1301.6783