In this paper, we study various mixed state information theoretic quantities for a boosted black brane geometry. We have considered two setups, namely, strip-like subsystem taken parallel and perpendicular to the direction of boost. The calculate are entanglement wedge cross-section, mutual information, negativity, purification complexity. subsequent analysis, incorporated thin-strip approximat...

It is shown how two extensions of the latent Markov model that have been developed by Rolf Langeheine and his colleagues (latent mixed Markov models, latent state-trait models) can be integrated into a common general frame of reference. In particular, it is demonstrated that latent state-trait models are a special subgroup of latent mixed Markov models. The different chains of a latent mixed Ma...

We investigated the properties of mixed states in a sparsely encoded associative memory model with a structural learning method. When mixed states are made of s memory patterns, s types of mixed states, which become equilibrium states of the model, can be generated. To investigate the properties of s types of the mixed states, we analyzed them using the statistical mechanical method. We found t...

The paper is concerned with a methodology of optimal design of shells of minimum weight with strength, stability and strain constraints. Stress and strain state of the shell is determined by Galerkin method in the mixed finite element formulation within the geometrically nonlinear theory. The analysis of the effectiveness of different optimization algorithms to solve the set problem is given. T...