Results 21 to 30 of about 4,724 (120)
The value distribution of incomplete Gauss sums
, 2012 It is well known that the classical Gauss sum, normalized by the square-root number of terms, takes only finitely many values. If one restricts the range of summation to a subinterval, a much richer structure emerges.
Chinen +4 more
core +1 more source
On dynamic spectral risk measures, a limit theorem and optimal portfolio allocation
, 2017 In this paper we propose the notion of continuous-time dynamic spectral risk-measure (DSR). Adopting a Poisson random measure setting, we define this class of dynamic coherent risk-measures in terms of certain backward stochastic differential equations ...
Madan, Dilip +2 more
core +1 more source
From a kinetic equation to a diffusion under an anomalous scaling [PDF]
, 2013 A linear Boltzmann equation is interpreted as the forward equation for the probability density of a Markov process (K(t), i(t), Y(t)), where (K(t), i(t)) is an autonomous reversible jump process, with waiting times between two jumps with finite ...
G Basile +9 more
core +7 more sources
Dense Subgraphs in Random Graphs
, 2018 For a constant $\gamma \in[0,1]$ and a graph $G$, let $\omega_{\gamma}(G)$ be the largest integer $k$ for which there exists a $k$-vertex subgraph of $G$ with at least $\gamma\binom{k}{2}$ edges.
Balister, Paul +3 more
core +1 more source
Limit theorems for linear eigenvalue statistics of overlapping matrices [PDF]
, 2015 The paper proves several limit theorems for linear eigenvalue statistics of overlapping Wigner and sample covariance matrices. It is shown that the covariance of the limiting multivariate Gaussian distribution is diagonalized by choosing the Chebyshev ...
Kargin, Vladislav
core +1 more source
Bottom‐Up Programming of Cell States in Cancer Organoids with Defined Synthetic Adhesion Cues
Advanced Materials, EarlyView.A bottom‐up biomaterial platform is developed to program transcriptomic states in pancreatic cancer organoids by tuning adhesion cues within synthetic matrices. By combining a Design of Experiments framework with multiobjective optimization, matrix compositions are identified that enrich specific cellular programs like EMT.
Ali Nadernezhad +6 more
wiley +1 more source
Densities for SDEs driven by degenerate $\alpha$-stable processes
, 2014 In this work, by using the Malliavin calculus, under H\"ormander's condition, we prove the existence of distributional densities for the solutions of stochastic differential equations driven by degenerate subordinated Brownian motions.
Zhang, Xicheng
core +1 more source
Advanced Robotics Research, EarlyView.An enhanced universal gripper combining rigid mechanics with self‐adaptable fingers is presented for industrial automation. The novel six‐bar linkage with integrated compliant pad eliminates mechanical interference while enabling passive shape adaptation.
Muhammad Usman Khalid +7 more
wiley +1 more source
A law of the iterated logarithm sublinear expectations
, 2013 In this paper, motivated by the notion of independent identically distributed (IID) random variables under sub-linear expectations initiated by Peng, we investigate a law of the iterated logarithm for capacities.
Khinchine A., Lévy P., Stout W. F.
core +1 more source
Advanced Science, EarlyView.We introduce AutomataGPT, a generative pretrained transformer (GPT) trained on synthetic spatiotemporal data from 2D cellular automata to learn symbolic rules. Demonstrating strong performance on both forward and inverse tasks, AutomataGPT establishes a scalable, domain‐agnostic framework for interpretable modeling, paving the way for future ...
Jaime A. Berkovich +2 more
wiley +1 more source