Moscow State University

About: Moscow State University is a education organization based out in Moscow, Russia. It is known for research contribution in the topics: Catalysis & Laser. The organization has 66747 authors who have published 123358 publications receiving 1753995 citations. The organization is also known as: MSU & Lomonosov Moscow State University.

Topics in the Constructive Theory of Countable Markov Chains

Abstract: Introduction and history 1. Preliminaries 2. General criteria 3. Explicit construction of Lyapunov functions 4. Ideology of induced chains 5. Random walks in two dimensional complexes 6. Stability 7. Exponential convergence and analyticity for ergodic Markov chains Bibliography.

Squeezed quantum states of relic gravitons and primordial density fluctuations

Abstract: The close relationship between the theory of particle creation in external fields and the theory of quantum-mechanical squeezed states is clarified. It is shown that relic gravitons (and other primordial perturbations), created from zero-point quantum fluctuations in the course of cosmological evolution, should now be in strongly squeezed states. The statistical properties of the stochastic collection of relic gravitational waves are investigated. Some other examples of particle creation, and in particular Hawking's process of black-hole evaporation, are considered in the context of the theory of squeezed states.

Cell death-based treatment of lung adenocarcinoma

Abstract: The most common type of lung cancer is adenocarcinoma (ADC), comprising around 40% of all lung cancer cases. In spite of achievements in understanding the pathogenesis of this disease and the development of new approaches in its treatment, unfortunately, lung ADC is still one of the most aggressive and rapidly fatal tumor types with overall survival less than 5 years. Lung ADC is often diagnosed at advanced stages involving disseminated metastatic tumors. This is particularly important for the successful development of new approaches in cancer therapy. The high resistance of lung ADC to conventional radiotherapies and chemotherapies represents a major challenge for treatment effectiveness. Here we discuss recent advances in understanding the molecular pathways driving tumor progression and related targeted therapies in lung ADCs. In addition, the cell death mechanisms induced by different treatment strategies and their contribution to therapy resistance are analyzed. The focus is on approaches to overcoming drug resistance in order to improve future treatment decisions.

Finding maximal repetitions in a word in linear time

Abstract: A repetition in a word w is a subword with the period of at most half of the subword length. We study maximal repetitions occurring in w, that is those for which any extended subword of w has a bigger period. The set of such repetitions represents in a compact way all repetitions in w. We first prove a combinatorial result asserting that the sum of exponents of all maximal repetitions of a word of length n is bounded by a linear function in n. This implies, in particular that there is only a linear number of maximal repetitions in a word. This allows us to construct a linear-time algorithm for finding all maximal repetitions. Some consequences and applications of these results are discussed, as well as related works.