Results 21 to 30 of about 96 (75)
Hausdorff dimensions of irreducible Markov hom tree‐shifts
Abstract This paper features a Cramér's theorem for finite‐state Markov chains indexed by rooted d$d$‐trees, obtained via the method of types in the classical analysis of large deviations. Along with the theorem comes two applications: an almost‐sure type convergence of sample means and a formula for the Hausdorff dimension of the symbolic space ...
Jung‐Chao Ban +2 more
wiley +1 more source
Concentration and Model Selection Consistency of the Group Lasso for α$$ \alpha $$‐Mixing Errors
ABSTRACT The group lasso in linear regression models is studied for α$$ \alpha $$‐mixing subexponential errors. Nonasymptotic guarantees are provided for the estimation error of the sparse coefficient vector and the associated predictions for the high‐dimensional regime where the number of regressors can grow much faster than the sample size.
Robin Martens, Ansgar Steland
wiley +1 more source
Central limit theorem in disordered Monomer‐Dimer model
Abstract We consider the disordered monomer‐dimer model on general finite graphs with bounded degrees. Under the finite fourth moment assumption on the weight distributions, we prove a Gaussian central limit theorem for the free energy of the associated Gibbs measure with a rate of convergence. The central limit theorem continues to hold under a nearly
Wai‐Kit Lam, Arnab Sen
wiley +1 more source
Typical Structure of Hereditary Graph Families. I. Apex‐free Families
ABSTRACT A family of graphs ℱ$$ \mathcal{F} $$ is hereditary if ℱ$$ \mathcal{F} $$ is closed under isomorphism and taking induced subgraphs. The speed of ℱ$$ \mathcal{F} $$ is the sequence {|ℱn|}n∈ℕ$$ {\left\{|{\mathcal{F}}^n|\right\}}_{n\in \mathbb{N}} $$, where ℱn$$ {\mathcal{F}}^n $$ denotes the set of graphs in ℱ$$ \mathcal{F} $$ with the vertex ...
Sergey Norin, Yelena Yuditsky
wiley +1 more source
The current multikey fully homomorphic encryption (MKFHE) needs to add exponential noise in the distributed decryption phase to ensure the simulatability of partial decryption. Such a large noise causes the ciphertext modulus of the scheme to increase exponentially compared to the single‐key fully homomorphic encryption (FHE), further reducing the ...
Xiaokang Dai +3 more
wiley +1 more source
Optimising Control Device Luring Strategies for Invasive Predator Control: A Modelling Approach
Invasive predators pose a threat to native biodiversity, and their management is hindered by trap‐shyness. Using Bayesian estimation, researchers quantified trap‐shyness in wild brushtail possums, finding a large number of trap‐shy individuals with a low probability of trap interaction.
Giorgia Vattiato +5 more
wiley +1 more source
Boundary Strichartz estimates and pointwise convergence for orthonormal systems
Abstract We consider maximal estimates associated with fermionic systems. Firstly, we establish maximal estimates with respect to the spatial variable. These estimates are certain boundary cases of the many‐body Strichartz estimates pioneered by Frank, Lewin, Lieb and Seiringer.
Neal Bez +2 more
wiley +1 more source
CsPbBr3 perovskite nanocrystal thin films display a distinctive Amplified Spontaneous Emission (ASE) behavior, where an anomalously shifted ASE band coexists with an excessive fluorescence background. This work shows that this behavior stems from four processes: reabsorption due to ground and excited state absorption, excitation of differently ...
Stefania Milanese +4 more
wiley +1 more source
Directed mean curvature flow in noisy environment
Abstract We consider the directed mean curvature flow on the plane in a weak Gaussian random environment. We prove that, when started from a sufficiently flat initial condition, a rescaled and recentred solution converges to the Cole–Hopf solution of the KPZ equation.
Andris Gerasimovičs +2 more
wiley +1 more source
Bayesian Factor-adjusted Sparse Regression. [PDF]
Fan J, Jiang B, Sun Q.
europepmc +1 more source

