Results 51 to 60 of about 423,443 (325)
Number variance for arithmetic hyperbolic surfaces [PDF]
Communications in Mathematical Physics, 1994 We prove that the number variance for the spectrum of an arithmetic surface is highly nonrigid in part of the universal range. In fact it is close to having a Poisson behavior. This fact was discovered numerically by Schmit, Bogomolny, Georgeot and Giannoni. It has its origin in the high degeneracy of the length spectrum, first observed by Selberg.
Luo, W., Sarnak, P.
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Topologies of Bihyperbolic Numbers
Mathematics, 2022 In this paper, we establish a correlation between the bihyperbolic numbers set and the semi-Euclidean space. There are three different norms on the semi-Euclidean space that allow us to define three different hypersurfaces on semi-Euclidean space. Hence,
Ana Savić +3 more
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Representations of Clifford Algebras with Hyperbolic Numbers [PDF]
Advances in Applied Clifford Algebras, 2007 The representations of Clifford algebras and their involutions and anti-involutions are fully investigated since decades. However, these representations do sometimes not comply with usual conventions within physics. A few simple examples are presented, which point out that the hyperbolic numbers can close this gap.
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On scaled hyperbolic numbers induced by scaled hyperbolic rings [PDF]
arXiv, 2023 In this paper, we generalize the well-known hyperbolic numbers to certain numeric structures scaled by the real numbers. Under our scaling of $\mathbb{R}$, the usual hyperbolic numbers are understood to be our 1-scaled hyperbolic numbers. If a scale $t$ is not positive in $\mathbb{R}$, then our $t$-scaled hyperbolic numbers have similar numerical ...
arxiv
Kolmogorov’s Axioms for Probabilities with Values in Hyperbolic Numbers [PDF]
Advances in Applied Clifford Algebras, 2016 We introduce the notion of a probabilistic measure which takes values in hyperbolic numbers and which satisfies the system of axioms generalizing directly Kolmogorov's system of axioms. We show that this new measure verifies the usual properties of a probability; in particular, we treat the conditional hyperbolic probability and we prove the hyperbolic
Alpay, Daniel +2 more
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On the number of hyperbolic Dehn fillings of a given volume [PDF]
Transactions of the American Mathematical Society, 2021 Let M \mathcal {M} be a 1 1 -cusped hyperbolic 3 3 -manifold whose cusp shape is quadratic. We show that there exists c = c ( M ) c=c(\mathcal {M}) such that the number of hyperbolic Dehn fillings of
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The Hybrid Numbers of Padovan and Some Identities
Annales Mathematicae Silesianae, 2020 In this article, we will define Padovan’s hybrid numbers, based on the new noncommutative numbering system studied by Özdemir ([7]). Such a system that is a set involving complex, hyperbolic and dual numbers.
Mangueira Milena Carolina dos Santos +3 more
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Notes on any given number of non-hyperbolic physical measures of some partially hyperbolic diffeomorphism [PDF]
arXiv, 2023 In this paper, we provide an example of a partially hyperbolic diffeomorphism with any finite number of physical measures when some Lyapunov exponent is 0 on the center.
arxiv
Hyperbolic Pascal pyramid [PDF]
Beitr Algebra Geom 57 (2016) 913-927, 2015 In this paper we introduce a new type of Pascal's pyramids. The new object is called hyperbolic Pascal pyramid since the mathematical background goes back to the regular cube mosaic (cubic honeycomb) in the hyperbolic space. The definition of the hyperbolic Pascal pyramid is a natural generalization of the definition of hyperbolic Pascal triangle and ...
arxiv +1 more source
Mapping Hsp104 interactions using cross‐linking mass spectrometry
FEBS Open Bio, EarlyView.This study examines how cross‐linking mass spectrometry can be utilized to analyze ATP‐induced conformational changes in Hsp104 and its interactions with substrates. We developed an analytical pipeline to distinguish between intra‐ and inter‐subunit contacts within the hexameric homo‐oligomer and discovered contacts between Hsp104 and a selected ...
Kinga Westphal +3 more
wiley +1 more source