Zobrazeno 1 - 10
of 225
pro vyhledávání: '"Sturm, Karl"'
Autor:
Sturm, Karl-Theodor
We study spectral properties and geometric functional inequalities on Riemannian manifolds of dimension $\ge3$ with (finite or countably many) conical singularities $\{z_i\}_{i\in\mathfrak I}$ in the neighborhood of which the largest lower bound for
Externí odkaz:
http://arxiv.org/abs/2405.10734
Autor:
Sturm, Karl-Theodor
Metric measure spaces with synthetic Ricci bounds have attracted great interest in recent years, accompanied by spectacular breakthroughs and deep new insights. In this survey, I will provide a brief introduction to the concept of lower Ricci bounds
Externí odkaz:
http://arxiv.org/abs/2404.15755
Autor:
Sturm, Karl-Theodor
This is a corrigendum to Acta Math. 196 (2006) as well as to the follow-up publications JFA 259 (2010) and to JFA 260 (2011).
Externí odkaz:
http://arxiv.org/abs/2401.15094
Autor:
Sturm, Karl-Theodor
Given any closed Riemannian manifold $M$, we construct a reversible diffusion process on the space ${\mathcal P}(M)$ of probability measures on $M$ that is (i) reversible w.r.t.~the entropic measure ${\mathbb P}^\beta$ on ${\mathcal P}(M)$, heuristic
Externí odkaz:
http://arxiv.org/abs/2401.12721
Autor:
Sturm, Karl-Theodor
We construct and analyze conformally invariant random fields on 4-dimensional Riemannian manifolds $(M,g)$. These centered Gaussian fields $h$, called \emph{co-biharmonic Gaussian fields}, are characterized by their covariance kernels $k$ defined as
Externí odkaz:
http://arxiv.org/abs/2401.12676
For an arbitrary dimension $n$, we study: (a) the Polyharmonic Gaussian Field $h_L$ on the discrete torus $\mathbb{T}^n_L = \frac{1}{L} \mathbb{Z}^{n} / \mathbb{Z}^{n}$, that is the random field whose law on $\mathbb{R}^{\mathbb{T}^{n}_{L}}$ given by
Externí odkaz:
http://arxiv.org/abs/2302.02963
Autor:
Staudigl, Felix, Sturm, Karl J. X., Bartel, Maximilian, Fetz, Thorben, Sisejkovic, Dominik, Joseph, Jan Moritz, Pöhls, Leticia Bolzani, Leupers, Rainer
Memristor-based crossbar arrays represent a promising emerging memory technology to replace conventional memories by offering a high density and enabling computing-in-memory (CIM) paradigms. While analog computing provides the best performance, non-i
Externí odkaz:
http://arxiv.org/abs/2204.01501
Autor:
Lainet, Marc, Luzzi, Lelio, Magni, Alessio, Pizzocri, Davide, Di Gennaro, Martina, Van Uffelen, Paul, Schubert, Arndt, D'Agata, Elio, Romanello, Vincenzo, Rineiski, Andrei, Sturm, Karl, Van Til, Sander, Charpin, Florence, Fedorov, Alexander
Publikováno v:
In Nuclear Engineering and Technology November 2024 56(11):4734-4747
As extensions to the corresponding results derived for time homogeneous McKean- Vlasov SDEs, the exponential ergodicity is proved for time-periodic distribution dependent SDEs in three different situations: 1) in the quadratic Wasserstein distance an
Externí odkaz:
http://arxiv.org/abs/2110.06473
For large classes of even-dimensional Riemannian manifolds $(M,g)$, we construct and analyze conformally invariant random fields. These centered Gaussian fields $h=h_g$, called co-polyharmonic Gaussian fields, are characterized by their covariance ke
Externí odkaz:
http://arxiv.org/abs/2105.13925