Zobrazeno 1 - 10
of 10
pro vyhledávání: '"Clara L. Aldana"'
Publikováno v:
Journal de l’École polytechnique — Mathématiques. 7:803-829
We consider the problem of finding extremal potentials for the functional determinant of a one-dimensional Schro dinger operator defined on a bounded interval with Dirichlet boundary conditions under an Lq-norm res- triction (q ≥ 1). This is done b
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6ca1d71afb3265fa69e49e3750215950
https://doi.org/10.5802/jep.128
https://doi.org/10.5802/jep.128
Autor:
Julie Rowlett, Clara L. Aldana
Publikováno v:
The Journal of Geometric Analysis
Let denote a finite circular sector of opening angle and radius one, and let denote the heat operator associated to the Dirichlet extension of the Laplacian
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::55cf0d645728daa09bfde62290e82b0e
https://doi.org/10.1007/s12220-019-00319-8
https://doi.org/10.1007/s12220-019-00319-8
Autor:
Clara L. Aldana
Publikováno v:
Annals of global analysis and geometry
The goal of this paper is to prove that on surfaces with asymptotically cusp ends the relative determinant of pairs of Laplace operators is well defined. We consider a surface with cusps (M,g) and a metric h on the surface that is a conformal transfo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::feeb04d0c1aa7a057f23b9436be054c8
https://doi.org/10.1007/s10455-012-9362-9
https://doi.org/10.1007/s10455-012-9362-9
Autor:
Clara L. Aldana
Publikováno v:
Analysis, Geometry and Quantum Field Theory. :223-236
In this overview article we give a brief presentation of the definition of relative determinants of Laplace operators in the setting of surfaces with asymptotically cusp ends. We refer to renormalized determinants on surfaces that allow funnel ends i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::125688c2e09abd2308fe9131430a4405
https://doi.org/10.1090/conm/584/11604
https://doi.org/10.1090/conm/584/11604
Autor:
Clara L. Aldana
Publikováno v:
Communications in Analysis and Geometry
We study the isoresonance problem on non-compact surfaces of finite area that are hyperbolic outside a compact set. Inverse resonance problems correspond to inverse spectral problems in the non-compact setting. We consider a conformal class of surfac
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5e05845cb7e26f9960bf42d53c657308
https://doi.org/10.4310/cag.2010.v18.n5.a6
https://doi.org/10.4310/cag.2010.v18.n5.a6
Autor:
Clara L. Aldana, Julie Rowlett
Publikováno v:
Journal of Geometric Analysis
We consider finite area convex Euclidean circular sectors. We prove a variational Polyakov formula which shows how the zeta-regularized determinant of the Laplacian varies with respect to the opening angle. Varying the angle corresponds to a conforma
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f45a4dc99fa406a6d2d7698c3e4a479f
https://pubmed.ncbi.nlm.nih.gov/30839914
https://pubmed.ncbi.nlm.nih.gov/30839914
Publikováno v:
Journal of Geometric Analysis
We introduce a notion of relative isospectrality for surfaces with boundary having possibly non-compact ends either conformally compact or asymptotic to cusps. We obtain a compactness result for such families via a conformal surgery that allows us to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d1c18c311453e3b8b0bcb474613eceb5
https://hdl.handle.net/11858/00-001M-0000-000F-A89F-211858/00-001M-0000-000F-A8A0-B11858/00-001M-0000-0026-BA2B-E
https://hdl.handle.net/11858/00-001M-0000-000F-A89F-211858/00-001M-0000-000F-A8A0-B11858/00-001M-0000-0026-BA2B-E
This volume contains the proceedings of the conference “Analysis, Geometry and Quantum Field Theory” held at Potsdam University in September 2011, which honored Steve Rosenberg's 60th birthday. The papers in this volume cover a wide range of area
Publikováno v:
Microlocal Methods in Mathematical Physics and Global Analysis ISBN: 9783034804653
I will report on work in progress with Clara Aldana and Frederic Rochon extending the famous compactness result of Osgood, Phillips, and Sarnak from compact surfaces to non-compact surfaces.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bdc3e99397d0d63643f55d8312d63c3b
https://doi.org/10.1007/978-3-0348-0466-0_19
https://doi.org/10.1007/978-3-0348-0466-0_19
Publikováno v:
Communications in partial differential equations
On compact surfaces with or without boundary, Osgood, Phillips and Sarnak proved that the maximum of the determinant of the Laplacian within a conformal class of metrics with fixed area occurs at a metric of constant curvature and, for negative Euler
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b4d5498624daaf51aa7437388fadb2dd
http://arxiv.org/abs/0909.0807
http://arxiv.org/abs/0909.0807