Zobrazeno 1 - 10
of 168
pro vyhledávání: '"Kuchment, Peter"'
Autor:
Akduman, Setenay, Kuchment, Peter
Quantum graphs have become in this century a favorite playground for mathematicians, mathematical physicists, and chemists, due to their manifold applications as models of thin structures, as well as presenting sometimes simpler playground for hard h
Externí odkaz:
http://arxiv.org/abs/2406.16190
Autor:
Kuchment, Peter
The article surveys the known results and conjectures about the analytic properties of dispersion relations and Fermi surfaces for periodic equations of mathematical physics and their spectral incarnations.
Externí odkaz:
http://arxiv.org/abs/2304.01478
Autor:
Braverman, Maxim, Dikansky, Arnold, Friedlander, Leonid, Gromov, Misha, Ivrii, Victor, Kordyukov, Yuri, Kuchment, Peter, Maz'ya, Vladimir, Owen, Robert Mc, Sunada, Toshikazu, Zvonkin, Alexander
The article is dedicated to thye memory of a distinguished mathematician Professor Misha Shubin
Externí odkaz:
http://arxiv.org/abs/2008.01248
Autor:
Kuchment, Peter, Taskinen, Jari
We establish absolute continuity of the spectrum of a periodic Schr\"odiner operator in R^n with periodic perforations. We also prove analytic dependece of the dispersion relation on the shape of the perforation.
Externí odkaz:
http://arxiv.org/abs/2007.12205
Autor:
Kuchment, Peter
We provide the proof of a previously announced result that resolves the following problem posed by A.~A.~Kirillov. Let $T$ be a presentation of a group $\mathcal{G}$ by bounded linear operators in a Banach space $G$ and $E\subset G$ be a closed invar
Externí odkaz:
http://arxiv.org/abs/2006.07696
Methods for source detection in high noise environments are important for single-photon emission computed tomography (SPECT) medical imaging and especially crucial for homeland security applications, which is our main interest. In the latter case, on
Externí odkaz:
http://arxiv.org/abs/2003.04089
An old problem in mathematical physics deals with the structure of the dispersion relation of the Schr\"odinger operator $-\Delta+V(x)$ in $R^n$ with periodic potential near the edges of the spectrum. A well known conjecture says that generically (wi
Externí odkaz:
http://arxiv.org/abs/1910.06472
Autor:
Kha, Minh, Kuchment, Peter
The classical Riemann-Roch theorem has been extended by N. Nadirashvili and then M. Gromov and M. Shubin to computing indices of elliptic operators on compact (as well as non-compact) manifolds, when a divisor mandates a finite number of zeros and al
Externí odkaz:
http://arxiv.org/abs/1909.13386