2572 papers
This paper investigates two-color partitions with odd smallest parts and specific restrictions on even parts, establishing congruences modulo 2 and 4 for their counts, deriving closed-form eta-quotient generating functions, and formulating Ramanujan-type congruences for the limiting sequence as the restriction parameter tends to infinity.
This paper proposes an improved Contact Graph Routing algorithm for Delay Tolerant Networks that incorporates contact splitting and edge pruning to proactively enforce capacity and buffer constraints during route search, thereby ensuring optimal delivery times and reducing collisions compared to traditional reactive methods.
This paper establishes a conformal scattering theory for defocusing semilinear wave equations on Schwarzschild spacetime by combining energy decay estimates with Sobolev embeddings to construct a bounded, locally Lipschitz scattering operator that maps past to future scattering data.
This paper introduces a noise-aware system identification framework that jointly recovers deterministic drifts and full noise structures from trajectory data without prior assumptions, enabling efficient and accurate modeling of complex, high-dimensional stochastic dynamics with correlated or state-dependent noise.
This paper introduces the concept of semirigidity and utilizes orbit counting theory to derive new formulae and improved bounds for enumerating 3-nilpotent semigroups, including their isomorphism and equivalence classes, with computational results provided up to order .
This paper establishes the existence of non-Einstein, non-shrinking Ricci solitons on , , and , including specific subfamilies of asymptotically paraboloidal steady solitons derived from the quaternionic Hopf fibration and related geometric structures.
This paper provides a fresh variational analysis of -partly smooth functions by establishing their strict twice epi-differentiability and calculating their second subderivatives, while demonstrating that the converse does not hold and applying these results to the stability of generalized equations and the asymptotic analysis of sample average approximations.
This paper improves cone restriction estimates in higher dimensions by recasting Ou-Wang's polynomial partitioning approach as a recursive algorithm and integrating the nested polynomial Wolff axioms.
This paper derives explicit solutions for a multi-disturbance minimax Linear Regulator problem applied to positive linear time-invariant systems in continuous time, utilizing dynamic programming and a fixed-point method to address both finite and infinite horizons while demonstrating scalability through a large-scale water management network application.
This paper establishes a tropical analogue of Porteous' formula by developing characteristic classes for tropical vector bundles on rational polyhedral spaces with boundary, utilizing a splitting principle and the boundary framework to ensure degeneracy loci achieve their expected codimension.
This paper introduces the dib-chromatic number as an extension of the -chromatic number to directed graphs via acyclic vertex colorings, providing general bounds and specific results for tournaments and regular digraphs.
This paper establishes an explicit formula for the rank of the -walk matrix of the Dynkin graph and proves that its Smith normal form consists of a single 1, followed by twos, and the remaining entries being zero.
This paper investigates permutation classes formed by finite subpermutations of infinite pin sequences, proving that they possess proper growth rates and providing a method to calculate them.
This paper computes the height filtration and successive minima of the height function associated with a relatively ample line bundle on a flag bundle over a smooth projective curve defined over an algebraically closed field of positive characteristic.
This paper revisits the Eckstein-Ferris-Pennanen-Robinson duality framework to demonstrate how paramonotonicity ensures the alignment of saddle points with the solution set, characterizes total Fenchel-Rockafellar duality in the subdifferential setting, and derives projection formulas relevant to the Chambolle-Pock algorithm.
This paper introduces the concept of Lorentzian proper position to characterize elementary quotients of M-convex functions and analyze the incidence geometry of tropical linear spaces, revealing that while certain classical incidence properties fail for general tropical spaces, they hold for those possessing adjoints.
This paper proposes the Alternating Gradient-type algorithm with Inexact Lower-level Solutions (AGILS), which leverages a Moreau envelope-based reformulation to efficiently solve convex composite bilevel optimization problems without requiring exact lower-level solutions, while establishing convergence guarantees and demonstrating effectiveness through numerical experiments.
This paper introduces a canonical framework for jointly lifting Brownian motion and low-regularity stochastic rough paths to model rough volatility via a single rough differential equation, thereby extending existing partial rough path theories, providing a numerical approximation scheme for correlated settings, and demonstrating successful calibration to market data.
This paper introduces an algebraic perspective on barycentric coordinates through barycentric algebras, specifically examining the relationships between various subclasses of partitions of unity derived from Guessab's tautological map.
This paper introduces DR-FoS, a novel doubly-robust estimator for the Functional Average Treatment Effect (FATE) that ensures consistent estimation and valid simultaneous inference even when either the outcome or treatment assignment model is misspecified, demonstrating its effectiveness through simulations and a real-world application to the SHARE dataset.