Zobrazeno 1 - 10
of 1 166
pro vyhledávání: '"Gerhold P"'
The use of Large Language Models (LLMs) has increased significantly recently, with individuals frequently interacting with chatbots to receive answers to a wide range of questions. In an era where information is readily accessible, it is crucial to s
Externí odkaz:
http://arxiv.org/abs/2412.01626
For a two-parameter Mittag-Leffler function $E_{\alpha,\beta}$ with $\alpha > 0$ and $\beta \ge 0,$ we consider the question whether $|E_{\alpha,\beta}(z)|$ and $E_{\alpha,\beta}(\Re z)$ are comparable on the whole complex plane. We show that the ine
Externí odkaz:
http://arxiv.org/abs/2410.11852
Autor:
Gerhold, Malte, Shalit, Orr
We revisit and generalize the notion of dilation distance ${\rm d_{D}}(u,v)$ between unitary tuples and study its relation to the natural Haagerup-R{\o}rdam distance ${\rm d_{HR}}(u,v) = \inf\{\|\pi(u) - \rho(v)\|\}$, where the infimum is taken over
Externí odkaz:
http://arxiv.org/abs/2406.05864
Heisenberg modules over noncommutative tori may also be viewed as Gabor frames. Building on this fact, we relate to deformations of noncommutative tori a bundle of Banach spaces induced by Heisenberg modules. The construction of this bundle of Banach
Externí odkaz:
http://arxiv.org/abs/2406.03724
Autor:
Verena Hurst, Christian B. Gerhold, Cleo V. D. Tarashev, Kiran Challa, Andrew Seeber, Shota Yamazaki, Britta Knapp, Stephen B. Helliwell, Bernd Bodenmiller, Masahiko Harata, Kenji Shimada, Susan M. Gasser
Publikováno v:
Nature Communications, Vol 15, Iss 1, Pp 1-22 (2024)
Abstract Loss of cytosolic actin filaments upon TORC2 inhibition triggers chromosome fragmentation in yeast, which results from altered base excision repair of Zeocin-induced lesions. To find the link between TORC2 kinase and this yeast chromosome sh
Externí odkaz:
https://doaj.org/article/c6eea7d7981e47d3bf6b2e622889e3f4
Autor:
Kenji Shimada, Cleo V. D. Tarashev, Stephanie Bregenhorn, Christian B. Gerhold, Barbara van Loon, Gregory Roth, Verena Hurst, Josef Jiricny, Stephen B. Helliwell, Susan M. Gasser
Publikováno v:
Nature Communications, Vol 15, Iss 1, Pp 1-20 (2024)
Abstract Combinational therapies provoking cell death are of major interest in oncology. Combining TORC2 kinase inhibition with the radiomimetic drug Zeocin results in a rapid accumulation of double-strand breaks (DSB) in the budding yeast genome. Th
Externí odkaz:
https://doaj.org/article/ea98c450fa2d473d92ee49d1c6d4073b
Publikováno v:
J. London Math. Soc. (2) 2024;109:e12898
We find a finite free resolution of the counit of the free unitary quantum groups of van Daele and Wang and, more generally, Bichon's universal cosovereign Hopf algebras with a generic parameter matrix. This allows us to compute Hochschild cohomology
Externí odkaz:
http://arxiv.org/abs/2309.07767
Autor:
Bauer, Benedict, Gerhold, Stefan
We characterize all real matrix semigroups satisfying a mild boundedness assumption, without assuming continuity. Besides the continuous solutions of the semigroup functional equation, we give a description of solutions arising from non-measurable so
Externí odkaz:
http://arxiv.org/abs/2305.15522
Autor:
Bauer, Benedict, Gerhold, Stefan
We argue that a classical inequality due to Fan, Taussky and Todd (1955) is equivalent to the dissipativity of a Jordan block. As the latter can be characterised via the zeros of Chebyshev polynomials, we obtain a short new proof of the inequality. T
Externí odkaz:
http://arxiv.org/abs/2305.14015
Autor:
Gerhold, Marcus, Hartmanns, Arnd
The Competition on Software Verification (SV-COMP) is a large computational experiment benchmarking many different software verification tools on a vast collection of C and Java benchmarks. Such experimental research should be reproducible by researc
Externí odkaz:
http://arxiv.org/abs/2303.06477