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pro vyhledávání: '"Brennecke A"'
We revisit the time evolution of initially trapped Bose-Einstein condensates in the Gross-Pitaevskii regime. We show that the system continues to exhibit BEC once the trap has been released and that the dynamics of the condensate is described by the
Externí odkaz:
http://arxiv.org/abs/2407.10650
Based on \cite{H}, it is well known that the rescaled two point correlation functions \[ \sqrt{N} \langle \sigma_i ; \sigma_j\rangle = \sqrt{N} \big( \langle \sigma_i \sigma_j\rangle -\langle \sigma_i\rangle \langle \sigma_j\rangle\big) \] in the She
Externí odkaz:
http://arxiv.org/abs/2404.19122
Publikováno v:
Ann. Henri Poincare (2024)
We consider dilute Bose gases on the three dimensional unit torus that interact through a pair potential with scattering length of order $ N^{\kappa-1}$, for some $\kappa >0$. For the range $ \kappa\in [0, \frac1{43})$, \cite{ABS} proves complete BEC
Externí odkaz:
http://arxiv.org/abs/2401.00784
We consider a translation-invariant system of $N$ bosons in $\mathbb{T}^{3}$ that interact through a repulsive two-body potential with scattering length of order $N^{-1}$ in the limit $N\to \infty$. We derive second order expressions for the one- and
Externí odkaz:
http://arxiv.org/abs/2310.05448
Autor:
Fernandez, Joaquin Delgado, Brennecke, Martin, Barbereau, Tom, Rieger, Alexander, Fridgen, Gilbert
Restrictive rules for data sharing in many industries have led to the development of federated learning. Federated learning is a machine-learning technique that allows distributed clients to train models collaboratively without the need to share thei
Externí odkaz:
http://arxiv.org/abs/2308.02219
We prove that the two point correlation matrix $ \textbf{M}= (\langle \sigma_i ; \sigma_j\rangle)_{1\leq i,j\leq N} \in \mathbb{R}^{N\times N}$ of the Sherrington-Kirkpatrick model has the property that for every $\epsilon>0$ there exists $K_\epsilon
Externí odkaz:
http://arxiv.org/abs/2307.12535
Publikováno v:
Prob. Math. Phys. 5 (2024) 131-175
We show that the two point correlation matrix $ \textbf{M}= (\langle \sigma_i \sigma_j\rangle)_{1\leq i,j\leq N} $ of the Sherrington-Kirkpatrick model with zero external field satisfies \[ \lim_{N\to\infty} \| \textbf{M} - ( 1+\beta^2 - \beta \textb
Externí odkaz:
http://arxiv.org/abs/2212.14476
Evolutionary adaptation of an HP1-protein chromodomain integrates chromatin and DNA sequence signals
Autor:
Lisa Baumgartner, Jonathan J Ipsaro, Ulrich Hohmann, Dominik Handler, Alexander Schleiffer, Peter Duchek, Julius Brennecke
Publikováno v:
eLife, Vol 13 (2024)
Members of the diverse heterochromatin protein 1 (HP1) family play crucial roles in heterochromatin formation and maintenance. Despite the similar affinities of their chromodomains for di- and tri-methylated histone H3 lysine 9 (H3K9me2/3), different
Externí odkaz:
https://doaj.org/article/9e7f1a5d9827457f8ffc9152a2ef45be
We consider general mixed $p$-spin mean field spin glass models and provide a method to prove that the spectral gap of the Dirichlet form associated with the Gibbs measure is of order one at sufficiently high temperature. Our proof is based on an ite
Externí odkaz:
http://arxiv.org/abs/2208.07844
Autor:
Wiebke Graf, Franziska Bertram, Katharina Dost, Anna Brennecke, Veronika Kowalski, Victoria van Rüth, Dominik Sebastian Nörz, Birgit Wulff, Benjamin Ondruschka, Klaus Püschel, Susanne Pfefferle, Marc Lütgehetmann, Fabian Heinrich
Publikováno v:
Frontiers in Public Health, Vol 12 (2024)
IntroductionHomeless individuals suffer a high burden of vaccine-preventable infectious diseases. Moreover, they are particularly susceptible to adverse infection outcomes with limited access to the health care system. Data on the seroprevalence of m
Externí odkaz:
https://doaj.org/article/30b94de820524a42b15940fee0bbd11e