Essays about: "finite dynamical systems"
Showing result 1 - 5 of 13 essays containing the words finite dynamical systems.
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1. Dynamical Borel-Cantelli lemmas and applications
University essay from Lunds universitet/Matematik LTHAbstract : The classical Borel–Cantelli lemma is a beautiful discovery with wide applications in the mathematical field. The Borel–Cantelli lemmas in dynamical systems are particularly fascinating. Here, D. Kleinbock and G. READ MORE
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2. A dynamical system with oscillating time average
University essay from Lunds universitet/Matematik LTHAbstract : Given a discrete dynamical system T, one can ask what the time average of the system will be, that is, what is the average position of T^n(x) for large n? Birkhoff’s ergodic theorem, one of the most important results in ergodic theory, says that for an ergodic system on a finite measure space, the time average will in the limit as n -> infinity be equal to the space average for almost all initial values x. In this thesis we study time averages of a dynamical system T : [0, 1] -> [0, 1] that depends on a parameter alpha. READ MORE
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3. Optimizing the functionalities of a code for real time dynamics of finite systems
University essay from Lunds universitet/Matematisk fysik; Lunds universitet/Fysiska institutionenAbstract : The many-body problem in quantum mechanics always presents new challenges and ways to discover new properties of existing materials. The difficulty (if not the impossibility) to solve the many-body problem analytically makes the numerical methods an appealing approach. READ MORE
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4. Modelling the Number of Periodic Points of Quadratic Maps Using Random Maps
University essay from Linnéuniversitetet/Institutionen för matematik (MA)Abstract : Since the introduction of Pollard's rho method for integer factorisation in 1975 there has been great interest in understanding the dynamics of quadratic maps over finite fields. One avenue for this, and indeed the heuristic on which Pollard bases the proof of the method's efficacy, is the idea that quadratic maps behave roughly like random maps. READ MORE
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5. Koopman mode analysis of the side-by-side cylinder wake
University essay from KTH/MekanikAbstract : In many situations, fluid flows can exhibit a wide range of temporal and spatial phenomena. It has become common to extract physically important features, called modes, as a first step in the analysis of flows with high complexity. READ MORE
