arXiv research

This work achieves finite-time stabilization of uncertain LQ systems using random feedbacks.

New continuous-time optimization algorithms converge in finite time to local minima.

The study shows stability of neckpinch singularities in mean curvature flows.

The paper analyzes stability and asymptotic behavior of hedging strategies in binomial and trinomial models.

Bayesian algorithm stabilizes unknown continuous-time systems from unstable data.

We study the ellipticity and the ``Nekhoroshev stability'' (stability properties for finite, but very long, time scales) of the Riemann ellipsoids. We provide numerical evidence that the regions of ellipticity of the ellipsoids of types II and III are larger than those found by Chandrasekhar in the 60's and that all Ri…

Study on stability of cylindrical singularities in MCF of finite codimensions.

New TD method stabilizes average-reward learning.

Finite group action on K-stability results in standard stability.

Proposes a method to prove closing of periodic orbits in dynamical systems.

Equivalence proven between divisorial stability and quotient log divisorial stability.

Study shows how a curve shortens to a half-circle under specific flow.

The Runge-Kutta-Legendre scheme improves pricing American options and other derivatives.

The paper analyzes stability of random matrix products with Markovian noise.

We derive high-order compact finite difference schemes for option pricing in stochastic volatility models on non-uniform grids. The schemes are fourth-order accurate in space and second-order accurate in time for vanishing correlation. In our numerical study we obtain high-order numerical convergence also for non-zero …

New method improves generalization in deep learning models.

Finite p-group actions on manifolds have limited stabilizer subgroups.

Ricci flow stabilizes hyperbolic 3-manifolds near the hyperbolic metric.

We provide a dual characterisation of the weak$^*$-closure of a finite sum of cones in $L^\infty$ adapted to a discrete time filtration $\mathcal{F}_t$: the $t^{th}$ cone in the sum contains bounded random variables that are $\mathcal{F}_t$-measurable. Hence we obtain a generalisation of Delbaen's m-stability condition…

Study stability of contingent claim solutions under probabilistic perturbations.

Develops stability conditions for estimating affine jump-diffusions.

Proves finitely generated associated graded rings for valuations on log Fano pairs.

Entropy regularization improves MFG learning efficiency and stability.

The paper develops algorithms to detect stability and Morse properties in various groups.

Study X-ray transform on Anosov manifolds with improved stability estimates.

This paper deals with stability in the numerical solution of the prominent Heston partial differential equation from mathematical finance. We study the well-known central second-order finite difference discretization, which leads to large semi-discrete systems with non-normal matrices A. By employing the logarithmic sp…

We study constant mean curvature Lorentzian hypersurfaces of $\mathbb{R}^{1,d+1}$ from the point of view of its Cauchy problem. We completely classify the spherically symmetric solutions, which include among them a manifold isometric to the de Sitter space of general relativity. We show that the spherically symmetric s…

DistillKac generates images quickly using damped wave equations.

The paper proves stability in compact finite dimensional Alexandrov spaces using equivariant Gromov--Hausdorff convergence.

Ghost points affect stability in finite difference schemes for diffusion equations.

Consider a group G and a family $\mathcal{A}$ of subgroups of G. We say that vertex finiteness holds for splittings of G over $\mathcal{A}$ if, up to isomorphism, there are only finitely many possibilities for vertex stabilizers of minimal G-trees with edge stabilizers in $\mathcal{A}$. We show vertex finiteness when G…

We present sufficient conditions for topological stability of continuous functions $f:\mathbb{R}\to\mathbb{R}$ having finitely many local extrema with respect to averagings by discrete measures with finite supports.

Characterizes periodic elements in Artin-Tits groups via stability conditions.

Develops a new theory for neural systems stability and width effects.

We construct analogues of FI-modules where the role of the symmetric group is played by the general linear groups and the symplectic groups over finite rings and prove basic structural properties such as Noetherianity. Applications include a proof of the Lannes--Schwartz Artinian conjecture in the generic representatio…

The study proves how groups can be split with limited complexity.

Ricci flow stability on manifolds with bounded geometry ensures convergence to hyperbolic metrics.

The paper studies stability and singularities of a two-convex level set flow.

New neural stack and Turing Machine architectures prove stability and computational power.

In this work, we study stability of distributed filtering of Markov chains with finite state space, partially observed in conditionally Gaussian noise. We consider a nonlinear filtering scheme over a Distributed Network of Agents (DNA), which relies on the distributed evaluation of the likelihood part of the centralize…

We introduce a strong notion of quasiconvexity in finitely generated groups, which we call stability. Stability agrees with quasiconvexity in hyperbolic groups and is preserved under quasi-isometry for finitely generated groups. We show that the stable subgroups of mapping class groups are precisely the convex cocompac…

Homological stability proved for handlebody mapping class groups.

Gradient filters track moving parameters under noisy data and misspecification.

We continue the study of a general class of spaces of 0-cycles on a manifold defined and begun by Farb-Wolfson-Wood. Using work of Gadish on linear subspace arrangements, we obtain representation stability for the cohomology of the ordered version of these spaces. We establish subexponential bounds on the growth of uns…

Study shows how to control jump-diffusion processes with stable feedback controls in reinforcement learning.

Stability of Wasserstein spaces under various convergence types.

We prove the following theorem for Holomorphic Foliations in compact complex kaehler manifolds: if there is a compact leaf with finite holonomy, then every leaf is compact with finite holonomy. As corollary we reobtain stability theorems for compact foliations in Kaehler manifolds of Edwards-Millett-Sullivan and Hollma…

Characterizes geometric actions on graphs with flexible stabilizers.