Found 1683 results, showing the newest relevant preprints. Sort by relevancy only.Update me on new preprints

Fluctuation limits for mean-field interacting nonlinear Hawkes processes

In particular, we prove a functional central limit theorem for the mean spike-activity thereby characterizing the asymptotic fluctuations in terms of a stochastic Volterra integral equation. Expand abstract.
63 days ago
8/10 relevant
arXiv

Beyond bogoliubov dynamics

We determine the n-point correlation functions of the excitations around the mean field, as well as the reduced densities of the N-body system to arbitrary precision, given only the knowledge of the two-point functions of a quasi-free state and the solution of the Hartree equation. Expand abstract.
63 days ago
5/10 relevant
arXiv

Orientation Dependence of the Magnetic Phase Diagram of Yb$_2$Ti$_2$O$_7$

In the quest to realize a quantum spin liquid (QSL), magnetic long-range order is hardly welcome. Expand abstract.
63 days ago
4/10 relevant
arXiv

Mean field theory for deep dropout networks: digging up gradient backpropagation deeply

The mean field theory shows that the existence of depth scales that limit the maximum depth of signal propagation and gradient backpropagation. Expand abstract.
67 days ago
10/10 relevant
arXiv

Mean-field solution of the weak-strong cluster problem for quantum annealing with stoquastic and non-stoquastic catalysts

We study the weak-strong cluster problem for quantum annealing in its mean-field version as proposed by Albash [Phys. Expand abstract.
67 days ago
10/10 relevant
arXiv

Magnetic phase transitions in quantum spin-orbital liquids

We investigate the spin and orbital correlations of a superexchange model with spin $S=1$ and orbital $L=1$ relevant for $5d^4$ transition metal Mott insulators, using exact diagonalization and density matrix renormalization group (DMRG). Expand abstract.
67 days ago
4/10 relevant
arXiv

An optimal semiclassical bound on certain commutators

We prove an optimal semiclassical bound on the trace norm of the following commutators $[\boldsymbol{1}_{(-\infty,0]}(H_\hbar),x]$, $[\boldsymbol{1}_{(-\infty,0]}(H_\hbar),-i\hbar\nabla]$ and $[\boldsymbol{1}_{(-\infty,0]}(H_\hbar),e^{itx}]$, where $H_\hbar$ is a Schr\"odinger operator with a semiclassical parameter $\hbar$, $x$ is the position operator... Expand abstract.
68 days ago
4/10 relevant
arXiv

Small-scale spatial structure affects predator-prey dynamics and coexistence

We show that under certain parameter regimes these mechanisms lead to the extinction of consumers whereas the classical mean-field model predicts the coexistence of both species. Expand abstract.
69 days ago
7/10 relevant
bioRxiv

Social Optima in Mean Field Linear-Quadratic-Gaussian Control with Volatility Uncertainty

Through solving this problem combined with a consistent mean field approximation, we design a set of decentralized strategies, which are further shown to be asymptotically social optimal by perturbation analysis. Expand abstract.
73 days ago
10/10 relevant
arXiv

Strong Solutions of Mean-Field SDEs with irregular expectation functional in the drift

Under these assumptions we then show that the Bismut-Elworthy-Li formula proposed in Bauer et al. (2018) holds in a strong sense, i.e. we give a probabilistic representation of the strong derivative with respect to the initial condition of expectation functionals of strong solutions to our type of mean-field equations... Expand abstract.
73 days ago
10/10 relevant
arXiv