.... In Paunonen & Seifert (2017b) , ergodic theory and -semigroups ( Batty et al. (2016) ; Chill & Seifert (2016) ; Martínez (2011) ) are used to investigate the asymptotic behaviour of certain infinite dimensional systems on . Recently, the behaviour of infinite chains of kinematic...

... general formulated ‘laws of nature’, such as mass, momentum and energy balances. For other phenomena, such as phytoplankton blooms and in general the behaviour of the marine biosphere, it is difficult to derive precise laws from first principles. Climate dynamics ergodic theory flow transitions...

... and letting , we get lim sup t → ∞   1 t log ⁡ ∥ e i ( t ) ∥ ≤ lim sup t → ∞ 1 2 t ∫ 0 t β r ( s ) d s . By the ergodic theory of the Markov chain [42], we have lim t → ∞ 1 t ∫ 0 t β r ( s ) d...

...This chapter proves results involving the quantum ergodicity of certain high-frequency eigenfunctions. Ergodic theory originally arose in the work of physicists studying statistical mechanics at the end of the nineteenth century. The word ergodic has as its roots two Greek words: ergon...

... to invent extra symbols to represent the larger ‘digits’; for example, in base 12 we might use the digits 0, 1, 2, …, 9, T, E, with T and E representing ‘ten’ and ‘eleven’. algorithm design computer science ergodic theory fraction measure theory normal number physics randomness n an unpublished...

... Exchange MCX wholesale price index WPI National Commodity and Derivative Exchange NCDEX Speculation uncertainty derivatives probability degree of belief caprice ergodic theory carry-trade portfolio adjustments regulation India It is common knowledge that the possibility of moving funds over...

..., which pertains to permutation symmetry, and ergodic theory (for abstract dynamical systems) provide illustrations of classical probabilistic theories. A number of features generally discussed in connection with quantum mechanics are already found in classical probability models. These include symmetry...

... Perrin to confirm his atomic theory of matter which, in Perrin s case, was rewarded with a Nobel prize. Moreover, Boltzmann effectively initiated the subject of ergodic theory with his seminal work on the kinetic theory of matter. He was not alone, in that other luminaries in the history of science made...

... dynamical systems ergodic theory kinetic theory unstable periodic orbits Ruelle zeta function accuracy precision 2.1 Introduction 15 2.2 Probabilistic dynamical systems 16 2.3 Ergodic theory 17 2.4 Kinetic theory 24 2.5 Unstable periodic orbits and the Ruelle zeta function...