國立虎尾科技大學 |

A Course on Tug-of-War Games with Random Noise = Introduction and Basic Constructions /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	A Course on Tug-of-War Games with Random Noise/ by Marta Lewicka.
其他題名:	Introduction and Basic Constructions /
作者:	Lewicka, Marta.
面頁冊數:	IX, 254 p. 26 illus., 24 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Potential theory (Mathematics). -
電子資源:	https://doi.org/10.1007/978-3-030-46209-3
ISBN:	9783030462093

A Course on Tug-of-War Games with Random Noise = Introduction and Basic Constructions /
Lewicka, Marta.

A Course on Tug-of-War Games with Random NoiseIntroduction and Basic Constructions /[electronic resource] :by Marta Lewicka. - 1st ed. 2020. - IX, 254 p. 26 illus., 24 illus. in color.online resource. - Universitext,0172-5939. - Universitext,.

1 Introduction -- 2 The linear case: random walk and harmonic functions -- 3 Tug-of-War with noise. Case p ∈ [2,∞) -- 4 Boundary aware tug-of-war with noise. Case p ∈ (2,∞) -- 5 Game-regularity and convergence. Case p ∈ (2,∞) -- 6 Mixed tug-of-war with noise. Case p ∈ (1,∞) -- A Background in probability -- B Background in Brownian motion -- C Background in PDEs. D Solutions to selected exercises -- References -- Index.

This graduate textbook provides a detailed introduction to the probabilistic interpretation of nonlinear potential theory, relying on the recently introduced notion of tug-of-war games with noise. The book explores both basic and more advanced constructions, carefully explaining the parallel between linear and nonlinear cases. The presentation is self-contained with many exercises, making the book suitable as a textbook for a graduate course, as well as for self-study. Extensive background and auxiliary material allow the tailoring of courses to individual student levels.

ISBN: 9783030462093

Standard No.: 10.1007/978-3-030-46209-3doiSubjects--Topical Terms:

1255004
Potential theory (Mathematics).

LC Class. No.: QA404.7-405

Dewey Class. No.: 515.96

A Course on Tug-of-War Games with Random Noise = Introduction and Basic Constructions /
LDR:02407nam a22003975i 4500 001 1028726
003 DE-He213
005 20200706003126.0
007 cr nn 008mamaa
008 210318s2020 gw | s |||| 0|eng d
020 $a 9783030462093 $9 978-3-030-46209-3
024 7 $a 10.1007/978-3-030-46209-3 $2 doi
035 $a 978-3-030-46209-3
050 4 $a QA404.7-405
072 7 $a PBWL $2 bicssc
072 7 $a MAT033000 $2 bisacsh
072 7 $a PBWL $2 thema
082 0 4 $a 515.96 $2 23
100 1 $a Lewicka, Marta. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1325308
245 1 2 $a A Course on Tug-of-War Games with Random Noise $h [electronic resource] : $b Introduction and Basic Constructions / $c by Marta Lewicka.
250 $a 1st ed. 2020.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2020.
300 $a IX, 254 p. 26 illus., 24 illus. in color. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a Universitext, $x 0172-5939
505 0 $a 1 Introduction -- 2 The linear case: random walk and harmonic functions -- 3 Tug-of-War with noise. Case p ∈ [2,∞) -- 4 Boundary aware tug-of-war with noise. Case p ∈ (2,∞) -- 5 Game-regularity and convergence. Case p ∈ (2,∞) -- 6 Mixed tug-of-war with noise. Case p ∈ (1,∞) -- A Background in probability -- B Background in Brownian motion -- C Background in PDEs. D Solutions to selected exercises -- References -- Index.
520 $a This graduate textbook provides a detailed introduction to the probabilistic interpretation of nonlinear potential theory, relying on the recently introduced notion of tug-of-war games with noise. The book explores both basic and more advanced constructions, carefully explaining the parallel between linear and nonlinear cases. The presentation is self-contained with many exercises, making the book suitable as a textbook for a graduate course, as well as for self-study. Extensive background and auxiliary material allow the tailoring of courses to individual student levels.
650 0 $a Potential theory (Mathematics). $3 1255004
650 0 $a Probabilities. $3 527847
650 0 $a Mathematical analysis. $3 527926
650 0 $a Analysis (Mathematics). $3 1253570
650 1 4 $a Potential Theory. $3 672266
650 2 4 $a Probability Theory and Stochastic Processes. $3 593945
650 2 4 $a Analysis. $3 669490
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783030462086
776 0 8 $i Printed edition: $z 9783030462109
830 0 $a Universitext, $x 0172-5939 $3 1253835
856 4 0 $u https://doi.org/10.1007/978-3-030-46209-3
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)