{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,6,18]],"date-time":"2025-06-18T04:28:07Z","timestamp":1750220887866,"version":"3.41.0"},"publisher-location":"New York, NY, USA","reference-count":29,"publisher":"ACM","license":[{"start":{"date-parts":[[2019,7,8]],"date-time":"2019-07-08T00:00:00Z","timestamp":1562544000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.acm.org\/publications\/policies\/copyright_policy#Background"}],"content-domain":{"domain":["dl.acm.org"],"crossmark-restriction":true},"short-container-title":[],"published-print":{"date-parts":[[2019,7,8]]},"DOI":"10.1145\/3343485.3343493","type":"proceedings-article","created":{"date-parts":[[2019,9,9]],"date-time":"2019-09-09T12:20:31Z","timestamp":1568031631000},"page":"6-13","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":2,"title":["Multidimensional Catalytic Branching Random Walk with Regularly Varying Tails"],"prefix":"10.1145","author":[{"given":"Ekaterina Vl.","family":"Bulinskaya","sequence":"first","affiliation":[{"name":"Novosibirsk State University, Novosibirsk, Russia"}]}],"member":"320","published-online":{"date-parts":[[2019,7,8]]},"reference":[{"key":"e_1_3_2_1_1_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.spa.2017.04.009"},{"key":"e_1_3_2_1_2_1","doi-asserted-by":"publisher","DOI":"10.2307\/1426719"},{"key":"e_1_3_2_1_3_1","doi-asserted-by":"publisher","DOI":"10.1239\/aap\/1127483742"},{"key":"e_1_3_2_1_4_1","doi-asserted-by":"publisher","DOI":"10.1214\/16-ECP22"},{"key":"e_1_3_2_1_5_1","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511721397","volume-title":"Asymptotic Analysis of Random Walks. Heavy-tailed distributions","author":"Borovkov A.A.","year":"2008","unstructured":"Borovkov , A.A. and Borovkov , K.A. , Asymptotic Analysis of Random Walks. Heavy-tailed distributions . Cambridge University Press , Cambridge , 2008 . Borovkov, A.A. and Borovkov, K.A., Asymptotic Analysis of Random Walks. Heavy-tailed distributions. Cambridge University Press, Cambridge, 2008."},{"key":"e_1_3_2_1_6_1","volume-title":"Monte-Carlo Simulation, and Queues","author":"Br\u00e9maud P.","year":"1999","unstructured":"Br\u00e9maud , P. , Markov chains: Gibbs Fields , Monte-Carlo Simulation, and Queues . Springer , New York , 1999 . Br\u00e9maud, P., Markov chains: Gibbs Fields, Monte-Carlo Simulation, and Queues. Springer, New York, 1999."},{"key":"e_1_3_2_1_7_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.spl.2013.10.016"},{"key":"e_1_3_2_1_8_1","doi-asserted-by":"publisher","DOI":"10.1137\/S0040585X97T987314"},{"key":"e_1_3_2_1_9_1","doi-asserted-by":"publisher","DOI":"10.1134\/S1064562415060228"},{"key":"e_1_3_2_1_10_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.spa.2017.09.007"},{"key":"e_1_3_2_1_11_1","volume-title":"Maximum of catalytic branching random walk with regularly varying tails","author":"Bulinskaya E.Vl.","year":"2018","unstructured":"Bulinskaya , E.Vl. , Maximum of catalytic branching random walk with regularly varying tails , 2018 , ArXiv :1808.01465. https:\/\/arxiv.org\/abs\/1808.01465. Bulinskaya, E.Vl., Maximum of catalytic branching random walk with regularly varying tails, 2018, ArXiv:1808.01465. https:\/\/arxiv.org\/abs\/1808.01465."},{"key":"e_1_3_2_1_12_1","first-page":"00994","article-title":"Catalytic branching random walk with semi-exponential increments, 2019","author":"Bulinskaya E.Vl.","year":"1902","unstructured":"Bulinskaya , E.Vl. , Catalytic branching random walk with semi-exponential increments, 2019 , ArXiv : 1902 . 00994 . https:\/\/arxiv.org\/abs\/1902.00994. Bulinskaya, E.Vl., Catalytic branching random walk with semi-exponential increments, 2019, ArXiv:1902.00994. https:\/\/arxiv.org\/abs\/1902.00994.","journal-title":"ArXiv"},{"key":"e_1_3_2_1_13_1","doi-asserted-by":"crossref","first-page":"2","DOI":"10.1214\/12-AIHP529","article-title":"The spread of a catalytic branching random walk","volume":"50","author":"Carmona Ph.","year":"2014","unstructured":"Carmona , Ph. and Hu , Y ., The spread of a catalytic branching random walk . Ann. Inst. Henri Poincar\u00e9 Probab. Stat. 50 , 2 , May 2014 , 327--351. Carmona, Ph. and Hu, Y., The spread of a catalytic branching random walk. Ann. Inst. Henri Poincar\u00e9 Probab. Stat. 50, 2, May 2014, 327--351.","journal-title":"Ann. Inst. Henri Poincar\u00e9 Probab. Stat."},{"key":"e_1_3_2_1_14_1","doi-asserted-by":"publisher","DOI":"10.1016\/0022-247X(70)90174-5"},{"key":"e_1_3_2_1_15_1","doi-asserted-by":"publisher","DOI":"10.1007\/BF00538794"},{"key":"e_1_3_2_1_16_1","volume-title":"An introduction to heavy-tailed and subexponential distributions","author":"Foss S.","year":"2012","unstructured":"Foss , S. , Korshunov , D. , and Zachary , S. , An introduction to heavy-tailed and subexponential distributions . Springer , New York , 2012 Foss, S., Korshunov, D., and Zachary, S., An introduction to heavy-tailed and subexponential distributions. Springer, New York, 2012"},{"key":"e_1_3_2_1_17_1","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511629136","volume-title":"Branching processes in biology: Evolution, Growth and Extinction","author":"Haccou P.","year":"2005","unstructured":"Haccou , P. , Jagers , P. , and Vatutin , V.A. , Branching processes in biology: Evolution, Growth and Extinction . Cambridge University Press , Cambridge , 2005 . Haccou, P., Jagers, P., and Vatutin, V.A., Branching processes in biology: Evolution, Growth and Extinction. Cambridge University Press, Cambridge, 2005."},{"key":"e_1_3_2_1_18_1","first-page":"138","article-title":"On the probability of the extinction of families","volume":"4","author":"Galton F.","year":"1875","unstructured":"Galton , F. and Watson , H. W ., On the probability of the extinction of families . J. Roy. Anthropol. Inst. , 4 , 138 -- 144 , 1875 , https:\/\/babel.hathitrust.org\/cgi\/pt?id=mdp.39015027596207;view=1up;seq=166. Galton, F. and Watson, H. W., On the probability of the extinction of families. J. Roy. Anthropol. Inst., 4, 138--144, 1875, https:\/\/babel.hathitrust.org\/cgi\/pt?id=mdp.39015027596207;view=1up;seq=166.","journal-title":"J. Roy. Anthropol. Inst."},{"key":"e_1_3_2_1_19_1","doi-asserted-by":"publisher","DOI":"10.1142\/S0219493717500447"},{"key":"e_1_3_2_1_20_1","doi-asserted-by":"publisher","DOI":"10.1016\/0022-247X(75)90046-3"},{"key":"e_1_3_2_1_21_1","first-page":"2","article-title":"The maximum of a tree-indexed random walk in the big jump domain. ALEA","volume":"13","author":"Maillard P.","year":"2016","unstructured":"Maillard , P. , The maximum of a tree-indexed random walk in the big jump domain. ALEA , Lat. Am. J. Probab. Math. Stat. 13 , 2 , Dec. 2016 , 545--561. Maillard, P., The maximum of a tree-indexed random walk in the big jump domain. ALEA, Lat. Am. J. Probab. Math. Stat. 13, 2, Dec. 2016, 545--561.","journal-title":"Lat. Am. J. Probab. Math. Stat."},{"key":"e_1_3_2_1_22_1","first-page":"3","article-title":"Branching processes with lattice spatial dynamics and a finite set of particle generation centers","volume":"446","author":"Molchanov S.A.","year":"2012","unstructured":"Molchanov , S.A. and Yarovaya , E.B ., Branching processes with lattice spatial dynamics and a finite set of particle generation centers . Doklady Math. 446 , 3 , Sept. 2012 , 259--262. Molchanov, S.A. and Yarovaya, E.B., Branching processes with lattice spatial dynamics and a finite set of particle generation centers. Doklady Math. 446, 3, Sept. 2012, 259--262.","journal-title":"Doklady Math."},{"key":"e_1_3_2_1_23_1","doi-asserted-by":"publisher","DOI":"10.1134\/S1064562418020102"},{"key":"e_1_3_2_1_24_1","doi-asserted-by":"crossref","DOI":"10.1007\/BFb0079658","volume-title":"Regularly Varying Functions","author":"Seneta E.","year":"1976","unstructured":"Seneta , E. , Regularly Varying Functions . Springer , Heidelberg , 1976 . Seneta, E., Regularly Varying Functions. Springer, Heidelberg, 1976."},{"key":"e_1_3_2_1_25_1","volume-title":"Branching Random Walks. \u00c9cole d'\u00c9t\u00e9 de Probabilit\u00e9s de Saint-Flour XLII --","author":"Shi Z.","year":"2012","unstructured":"Shi , Z. 2015. Branching Random Walks. \u00c9cole d'\u00c9t\u00e9 de Probabilit\u00e9s de Saint-Flour XLII -- 2012 . Lecture Notes in Math. 2151. Springer , Cham. Shi, Z. 2015. Branching Random Walks. \u00c9cole d'\u00c9t\u00e9 de Probabilit\u00e9s de Saint-Flour XLII -- 2012. Lecture Notes in Math. 2151. Springer, Cham."},{"key":"e_1_3_2_1_26_1","doi-asserted-by":"publisher","DOI":"10.1007\/s10440-017-0148-8"},{"key":"e_1_3_2_1_27_1","doi-asserted-by":"publisher","DOI":"10.3103\/S1055134413020065"},{"key":"e_1_3_2_1_28_1","volume-title":"Bellman-Harris Branching Processes","author":"Vatutin V.A.","year":"2009","unstructured":"Vatutin , V.A. , Bellman-Harris Branching Processes . MIRAS , Moscow, Russian , 2009 . Vatutin, V.A., Bellman-Harris Branching Processes. MIRAS, Moscow, Russian, 2009."},{"key":"e_1_3_2_1_29_1","doi-asserted-by":"publisher","DOI":"10.1007\/s11009-016-9492-9"}],"event":{"name":"ICoMS'19: 2019 2nd International Conference on Mathematics and Statistics","sponsor":["UBI Universidade da Beira Interior","Universidade Nova de Lisboa"],"location":"Prague Czech Republic","acronym":"ICoMS'19"},"container-title":["Proceedings of the 2019 2nd International Conference on Mathematics and Statistics"],"original-title":[],"link":[{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/3343485.3343493","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/dl.acm.org\/doi\/pdf\/10.1145\/3343485.3343493","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,17]],"date-time":"2025-06-17T23:44:24Z","timestamp":1750203864000},"score":1,"resource":{"primary":{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/3343485.3343493"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,7,8]]},"references-count":29,"alternative-id":["10.1145\/3343485.3343493","10.1145\/3343485"],"URL":"https:\/\/doi.org\/10.1145\/3343485.3343493","relation":{},"subject":[],"published":{"date-parts":[[2019,7,8]]},"assertion":[{"value":"2019-07-08","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}