Fractional-order analysis and optimal control of the NERA model: stability, sensitivity, and numerical validation. [PDF]
Pandey A, Ghosh S.
europepmc +1 more source
h$h$‐Function, Hilbert–Kunz density function and Frobenius–Poincaré function
Abstract Given ideals I,J$I,J$ of a noetherian local ring (R,m)$(R, \mathfrak {m})$ such that I+J$I+J$ is m$\mathfrak {m}$‐primary and a finitely generated R$R$‐module M$M$, we associate an invariant of (M,R,I,J)$(M,R,I,J)$ called the h$h$‐function.
Cheng Meng, Alapan Mukhopadhyay
wiley +1 more source
Smooth optimization using global and local low-rank regularizers. [PDF]
Lobos RA +3 more
europepmc +1 more source
On the integral simplicial volume of cyclic covers of mapping tori
Abstract In this paper, we investigate the asymptotic behavior of the integral simplicial volume of cyclic covers of manifolds that fiber over the circle with fiber given by an n$n$‐dimensional torus. By studying the integral filling volume—an invariant introduced by Frigerio and the first author—for the monodromy, we establish both lower and upper ...
Federica Bertolotti +1 more
wiley +1 more source
Singularity in nonlinear systems: differential inclusion model for the standard and transformed fractional pantograph equation. [PDF]
Mobayen S +4 more
europepmc +1 more source
Decay of correlations and limit theorems for random intermittent maps
Abstract In this paper, we revisit the problem of polynomial memory loss and the central limit theorem (CLT) for time‐dependent LSV maps. More precisely, we show that for random LSV maps corresponding to a random parameter β(·)$\beta (\cdot)$ we obtain quenched memory loss, decay of correlations, CLTs with rates, moment bounds, and almost sure ...
Davor Dragičević +2 more
wiley +1 more source
Parabolic PDEs with Dynamic Data under a Bounded Slope Condition. [PDF]
Bögelein V, Duzaar F, Treu G.
europepmc +1 more source
Well‐posedness of heat equations with nonlinearities of arbitrarily rapid growth
Abstract We address local‐ and global‐in‐time well‐posedness of the Cauchy problem for nonlinear heat equations without imposing growth rate restrictions on the nonlinearity a priori. Our results constitute a nontrivial expansion of the classical Lq$L^q$‐theory for nonlinearities dominated by polynomial growth and the exponential‐Orlicz space theory ...
Yohei Fujishima +2 more
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Beyond diagonal noise: A better predator-prey modeling framework with cross-covariance. [PDF]
Yu J, Wang LS.
europepmc +1 more source
Surface subgroups for cocompact lattices of isometries of H2n$\mathbb {H}^{2n}$
Abstract We prove the existence of surface subgroups within any cocompact lattice Γ$\Gamma$ in SO(2n,1)$\mathrm{SO}(2n,1)$ for n⩾2$n\geqslant 2$. This result addresses the cases missing from the work of Hamenstädt in 2015, who constructed surface subgroups in cocompact lattices for all other rank‐1 simple Lie groups of noncompact type.
Jeremy Kahn, Zhenghao Rao
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