{"title":"Steve Alpern","description":null,"products":[{"product_id":"typical-dynamics-of-volume-preserving-homeomorphisms-book-steve-alpern-9780521172431","title":"Typical Dynamics of Volume Preserving Homeomorphisms","description":"This 2000 book provides a self-contained introduction to typical properties of homeomorphisms. Examples of properties of homeomorphisms considered include transitivity, chaos and ergodicity. A key idea here is the interrelation between typical properties of volume preserving homeomorphisms and typical properties of volume preserving bijections of the underlying measure space. The authors make the first part of this book very concrete by considering volume preserving homeomorphisms of the unit n-dimensional cube, and they go on to prove fixed point theorems (Conley–Zehnder– Franks). This is done in a number of short self-contained chapters which would be suitable for an undergraduate analysis seminar or a graduate lecture course. Much of this work describes the work of the two authors, over the last twenty years, in extending to different settings and properties, the celebrated result of Oxtoby and Ulam that for volume homeomorphisms of the unit cube, ergodicity is a typical property.","brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":51208341684497,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":51208344076561,"sku":"NIN9780521172431","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ INGRAM","offer_id":52432830169361,"sku":"NLS9780521172431","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0521172438.jpg?v=1751293620"},{"product_id":"search-theory-book-steve-alpern-9781461468240","title":"Search Theory","description":"Search games and rendezvous problems have received growing attention in computer science within the past few years. This contributed volume covers a wide range of topics including rendezvous problems and solutions, rendezvous on graphs, search games on biology, mobility in governed social networks, search and security, and more.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52123688206609,"sku":"NLS9781461468240","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9781461468240.jpg?v=1757452156"},{"product_id":"search-theory-book-steve-alpern-9781493900671","title":"Search Theory","description":"Search games and rendezvous problems have received growing attention in computer science within the past few years. 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Traditionally, the target is assumed to have no motives of its own regarding when it is found; it is simply stationary and hidden according to a known distribution (e. g., oil), or its motion is determined stochastically by known rules (e. g., a fox in a forest). The problems dealt with in this book assume, on the contrary, that the target is an independent player of equal status to the Searcher, who cares about when he is found. We consider two possible motives of the target, and divide the book accordingly. Book I considers the zero-sum game that results when the target (here called the Hider) does not want to be found. Such problems have been called Search Games (with the ze- sum qualifier understood). Book I considers the opposite motive of the target, namely, that he wants to be found. In this case the Searcher and the Hider can be thought of as a team of agents (simply called Player I and Player I) with identical aims, and the coordination problem they jointly face is called the Rendezvous Search Problem.","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52337782554897,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52337783177489,"sku":"NLS9780792374688","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9780792374688.jpg?v=1758167753"},{"product_id":"typical-dynamics-of-volume-preserving-homeomorphisms-book-steve-alpern-9780521582872","title":"Typical Dynamics of Volume Preserving Homeomorphisms","description":"This book provides a self-contained introduction to typical properties of volume preserving homeomorphisms, examples of which include transitivity, chaos and ergodicity. 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Parts Two and Three consider compact manifolds and sigma compact manifolds respectively, describing the work of the two authors in extending the celebrated result of Oxtoby and Ulam that for volume homeomorphisms of the unit cube, ergodicity is a typical property.","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52428481298705,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52428482052369,"sku":"NLS9780521582872","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9780521582872.jpg?v=1759164276"},{"product_id":"theory-of-search-games-and-rendezvous-book-steve-alpern-9781441949080","title":"The Theory of Search Games and Rendezvous","description":"Search Theory is one of the original disciplines within the field of Operations Research. 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