LEADER 02745nam a2200373 i 4500
001 991000160479707536
008 031204s2001    de a     b    001 0 eng d
020   $a3110169916
035   $ab12578277-39ule_inst
040   $aDip.to Matematica$beng
082 0 $a515.352$221
084   $aAMS 37-01
084   $aAMS 37A50
084   $aAMS 37A30
084   $aAMS 70K55
084   $aLC QA614.8.B48
084   $a53.1.65
100 1 $aBerger, Arno$0481526
245 10$aChaos and chance :$ban introduction to stochastic aspects of dynamics /$cArno Berger
260   $aBerlin ; New York :$bWalter de Gruyter,$c2001
300   $ax, 245 p. :$bill. ;$c24 cm
440  0$aDe Gruyter textbook
504   $aIncludes bibliographical references (p. [237]-240) and index
505 0 $aIntroduction.  Long-time behaviour of mechanical systems ; Iteration of maps ; Elementary stochastic processes ; Basic aspects of discrete dynamical systems. Hyperbolicity and bifurcations ; How may simple systems become complicated?  Facing deterministic chaos ; Symbolic dynamical systems ; The emergence of chaos ; Newton's method for polynomials: a case study ; Circle maps, rotation numbers, and minimality ; Gimpses of billiards ; Horseshoes, attractors, and natural extensions ; Toral maps and shadowing ; Ergodic theory I. Foundations. The statistical point of view ; Invariant and ergodic measures ; Ergodic theorems ; Aspects of mixing ; Mixing properties ; The concept of entropy ; Ergodic theory II: Applications.  The Frobenius-Perron operator ; Asymptotic behaviour of densities ; Piecewise expanding Markov maps ; A short look at Markov chains  ; Class structure, absorption probabilities, and hitting times ; Recurrence and transience: dynamical classification of states ; The long-time behaviour of Markov chains ; The dynamical evolution of measures : Basic examples and concepts ; Asymptotic stability ; Back to geometry: fractal sets and measures ; Three final examples ; Searching for non-normal numbers ; The fractal nature of Brownian paths ; Patterns of congruence in the Pascal triangle
650  0$aDifferentiable dynamical systems
650  0$aChaotic behavior in systems
856 41$3Table of contents$uhttp://www.loc.gov/catdir/toc/fy031/2001042161.html$zTable of contents
907   $a.b12578277$b12-10-12$c04-12-03
912   $a991000160479707536
945   $aLE006 53.1.65 BER$g1$i2006000154277$lle006$op$pE34.56$q-$rl$s-  $t0$u0$v0$w0$x0$y.i13994748$z31-01-05
945   $aLE013 37-XX BER11 (2001)$g1$i2013000143637$lle013$op$pE52.98$q-$rl$s-  $t0$u2$v0$w2$x0$y.i13075974$z10-02-04
996   $aChaos and chance$9254054
997   $aUNISALENTO
998   $ale006$a(2)le013$b04-12-03$cm$da  $e-$feng$gde $h0$i3