Matches in SemOpenAlex for { <https://semopenalex.org/work/W2969816274> ?p ?o ?g. }
- W2969816274 endingPage "274" @default.
- W2969816274 startingPage "245" @default.
- W2969816274 abstract "Transience of spatio-temporal clusters of residential burglary is well documented in empirical observations, and could be due to finite size effects anecdotally. However a theoretical understanding has been lacking. The existing agent-based statistical models of criminal behavior for residential burglary assume deterministic-time steps for arrivals of events. To incorporate random arrivals, this article introduces a Poisson clock into the model of residential burglaries, which could set time increments as independently exponentially distributed random variables. We apply the Poisson clock into the seminal deterministic-time-step model in Short et al. (Math Models Methods Appl Sci 18:1249–1267, 2008). Introduction of the Poisson clock not only produces similar simulation output, but also brings in theoretically the mathematical framework of the Markov pure jump processes, e.g., a martingale approach. The martingale formula leads to a continuum equation that coincides with a well-known mean-field continuum limit. Moreover, the martingale formulation together with statistics quantifying the relevant pattern formation leads to a theoretical explanation of the finite size effects. Our conjecture is supported by numerical simulations." @default.
- W2969816274 created "2019-08-29" @default.
- W2969816274 creator A5015300785 @default.
- W2969816274 creator A5031767581 @default.
- W2969816274 creator A5049890851 @default.
- W2969816274 creator A5090707978 @default.
- W2969816274 date "2019-01-01" @default.
- W2969816274 modified "2023-09-24" @default.
- W2969816274 title "A Stochastic-Statistical Residential Burglary Model with Finite Size Effects" @default.
- W2969816274 cites W1531264907 @default.
- W2969816274 cites W1536721400 @default.
- W2969816274 cites W1538558414 @default.
- W2969816274 cites W1969754919 @default.
- W2969816274 cites W1970721134 @default.
- W2969816274 cites W1971287718 @default.
- W2969816274 cites W1973435014 @default.
- W2969816274 cites W1982300822 @default.
- W2969816274 cites W1982574489 @default.
- W2969816274 cites W1987173180 @default.
- W2969816274 cites W1992418959 @default.
- W2969816274 cites W1995522593 @default.
- W2969816274 cites W1999577479 @default.
- W2969816274 cites W2014615584 @default.
- W2969816274 cites W2029107725 @default.
- W2969816274 cites W2035755115 @default.
- W2969816274 cites W2048421273 @default.
- W2969816274 cites W2049118252 @default.
- W2969816274 cites W2050274271 @default.
- W2969816274 cites W2050396090 @default.
- W2969816274 cites W2056284729 @default.
- W2969816274 cites W2056583384 @default.
- W2969816274 cites W2066764855 @default.
- W2969816274 cites W2076844805 @default.
- W2969816274 cites W2079576032 @default.
- W2969816274 cites W2088942147 @default.
- W2969816274 cites W2098216283 @default.
- W2969816274 cites W2099700798 @default.
- W2969816274 cites W2107115430 @default.
- W2969816274 cites W2113609708 @default.
- W2969816274 cites W2117462892 @default.
- W2969816274 cites W2122695071 @default.
- W2969816274 cites W2123906784 @default.
- W2969816274 cites W2141994409 @default.
- W2969816274 cites W2143412907 @default.
- W2969816274 cites W2145035913 @default.
- W2969816274 cites W2145517876 @default.
- W2969816274 cites W2151854755 @default.
- W2969816274 cites W2155458379 @default.
- W2969816274 cites W2166893822 @default.
- W2969816274 cites W2171547389 @default.
- W2969816274 cites W2198369554 @default.
- W2969816274 cites W2212740241 @default.
- W2969816274 cites W2232870322 @default.
- W2969816274 cites W2293609966 @default.
- W2969816274 cites W2329537042 @default.
- W2969816274 cites W2330033114 @default.
- W2969816274 cites W2790029536 @default.
- W2969816274 cites W2790110384 @default.
- W2969816274 cites W2792527044 @default.
- W2969816274 cites W2793186588 @default.
- W2969816274 cites W2884619174 @default.
- W2969816274 cites W2963601366 @default.
- W2969816274 cites W2964209891 @default.
- W2969816274 cites W3022439851 @default.
- W2969816274 cites W3024286765 @default.
- W2969816274 cites W303747730 @default.
- W2969816274 cites W3101140841 @default.
- W2969816274 cites W3104921468 @default.
- W2969816274 cites W3124240737 @default.
- W2969816274 cites W3124487094 @default.
- W2969816274 cites W388550832 @default.
- W2969816274 cites W4213329537 @default.
- W2969816274 cites W4230843050 @default.
- W2969816274 cites W4232705268 @default.
- W2969816274 cites W4232753567 @default.
- W2969816274 cites W4245159036 @default.
- W2969816274 cites W4254741854 @default.
- W2969816274 cites W4256711960 @default.
- W2969816274 cites W4292049208 @default.
- W2969816274 cites W4293092461 @default.
- W2969816274 cites W4294309872 @default.
- W2969816274 doi "https://doi.org/10.1007/978-3-030-20297-2_8" @default.
- W2969816274 hasPublicationYear "2019" @default.
- W2969816274 type Work @default.
- W2969816274 sameAs 2969816274 @default.
- W2969816274 citedByCount "3" @default.
- W2969816274 countsByYear W29698162742020 @default.
- W2969816274 countsByYear W29698162742021 @default.
- W2969816274 crossrefType "book-chapter" @default.
- W2969816274 hasAuthorship W2969816274A5015300785 @default.
- W2969816274 hasAuthorship W2969816274A5031767581 @default.
- W2969816274 hasAuthorship W2969816274A5049890851 @default.
- W2969816274 hasAuthorship W2969816274A5090707978 @default.
- W2969816274 hasConcept C100906024 @default.
- W2969816274 hasConcept C105795698 @default.
- W2969816274 hasConcept C118615104 @default.
- W2969816274 hasConcept C121332964 @default.
- W2969816274 hasConcept C121864883 @default.