{"id":24,"date":"2021-02-01T09:21:11","date_gmt":"2021-02-01T16:21:11","guid":{"rendered":"https:\/\/faculty.uccs.edu\/gmorrow\/?page_id=24"},"modified":"2025-07-24T11:27:50","modified_gmt":"2025-07-24T17:27:50","slug":"home-page","status":"publish","type":"page","link":"https:\/\/faculty.uccs.edu\/gmorrow\/","title":{"rendered":"Greg Morrow"},"content":{"rendered":"\n<div><img decoding=\"async\" style=\"max-width:100%;height:auto;border-radius:15%;margin-bottom:1rem;\" src=\"https:\/\/faculty.uccs.edu\/gmorrow\/wp-content\/uploads\/sites\/19\/2021\/02\/Morrow.jpg\" alt=\"portrait of Greg Morrow\"><\/div>\n\n\n\n<div><h3>Background and Professional Information<\/h3>\n<ul>\n<li>Ph.D.in Mathematics, University of Illinois (Champaign-Urbana), 1979.<\/li>\n<li>M.S. in Statistics, University of Illinois (Champaign-Urbana), 1979.<\/li>\n<li>M.A. in Counseling Psychology, Regis University (Denver), 1998<\/li>\n<li>Associate Professor at Univ. Colorado Colorado Springs 1986-2006.<\/li>\n<li>Professor at Univ. Colorado Colorado Springs 2006-Present.<\/li>\n<\/ul>\n<h3>Research Interests:<\/h3>\n<ul>\n<li>Probability<\/li>\n<li>Random Walk, Percolation<\/li>\n<\/ul>\n<h3>Personal Interests:<\/h3>\n<ul>\n<li>Tai Chi<\/li>\n<li>Jungian and Process Oriented psychologies<\/li>\n<\/ul><\/div>\n\n\n\n<hr>\n<p><\/p>\n<h3>Selected Papers:<\/h3>\n\n\n\n<p class=\"has-small-font-size wp-block-paragraph\"><strong>Some Probability Distributions and Integer Sequences Related to Rook Paths<\/strong>, ECA&nbsp;5:2&nbsp;(2025) Article #S2R12&nbsp;<a href=\"https:\/\/doi.org\/10.54550\/ECA2025V5S2R12\">https:\/\/doi.org\/10.54550\/ECA2025V5S2R12<\/a><\/p>\n\n\n\n<p class=\"has-small-font-size wp-block-paragraph\"><strong>Bernoulli number identities for associated Stirling numbers and derangements<\/strong>: published at <a href=\"http:\/\/ajc.maths.uq.edu.au\/\" target=\"_blank\" rel=\"noreferrer noopener\">http:\/\/ajc.maths.uq.edu.au<\/a><\/p>\n\n\n\n<div class=\"wp-block-file\"><a id=\"wp-block-file--media-4529d1a5-53fe-489d-8119-74a9cd3b2b3d\" href=\"https:\/\/faculty.uccs.edu\/gmorrow\/wp-content\/uploads\/sites\/19\/2023\/12\/ajc_v88_p022-051.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">ajc_v88_p022-051<\/a><\/div>\n\n\n\n<p class=\"has-small-font-size wp-block-paragraph\">&#8220;<strong>Gambler&#8217;s ruin with random stopping&#8221;, Stochastic Models, DOI: 10.1080\/15326349.2023.2241066<\/strong>:<\/p>\n\n\n\n<div class=\"wp-block-file\"><a id=\"wp-block-file--media-910ed48e-8f57-4d46-97fc-a88067454e44\" href=\"https:\/\/faculty.uccs.edu\/gmorrow\/wp-content\/uploads\/sites\/19\/2023\/08\/Gambler-s-ruin-with-random-stopping.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">Gambler s ruin with random stopping<\/a><\/div>\n\n\n\n<p class=\"has-small-font-size wp-block-paragraph\"><strong>Probabilistic aspects of r-Stirling numbers:<\/strong> published at <a href=\"http:\/\/ajc.maths.uq.edu.au\/\" target=\"_blank\" rel=\"noreferrer noopener\">http:\/\/ajc.maths.uq.edu.au<\/a><\/p>\n\n\n\n<div class=\"wp-block-file\"><a id=\"wp-block-file--media-cd2b298d-e86e-4646-b1dc-d6157cc86b11\" href=\"https:\/\/faculty.uccs.edu\/gmorrow\/wp-content\/uploads\/sites\/19\/2022\/04\/ajc_v78_p376-398.pdf\"><strong>ajc_v78_p376-398<\/strong><\/a><\/div>\n\n\n\n<p class=\"has-small-font-size wp-block-paragraph\"><strong><a href=\"\/gmorrow\/wp-content\/uploads\/sites\/19\/2021\/03\/lattkurz_Krattenthaler_final_edit.pdf\">Laws relating runs, long runs, and steps in gambler&#8217;s ruin, with persistence in two strata.<\/a>&nbsp;<em>Lattice Path Combinatorics and Applications<\/em>, George E. Andrews, Christian Krattenthaler, Alan Krinik, eds., Springer Developments in Mathematics Vol. 58 (2019) 343-381.<\/strong><\/p>\n\n\n\n<p class=\"has-small-font-size wp-block-paragraph\"><strong><em>Mathematica<\/em>&nbsp;calculations for&nbsp;<em>Laws relating runs, long runs, and steps in gambler&#8217;s ruin, with persistence in two strata<\/em>, companion document:<\/strong> <\/p>\n\n\n\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column has-small-font-size is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:12%\">\n<div class=\"wp-block-file\"><a id=\"wp-block-file--media-641d9c2d-877d-42d3-a408-b8cb52e9f7f7\" href=\"https:\/\/faculty.uccs.edu\/gmorrow\/wp-content\/uploads\/sites\/19\/2022\/04\/PersistentGamRun_pp1-27.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">PersistentGamRun_pp1-27<\/a><\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-column has-small-font-size is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:12%\">\n<div class=\"wp-block-file\"><a id=\"wp-block-file--media-af9e2289-ee3e-4b12-ba8f-6f173a0fbaf5\" href=\"https:\/\/faculty.uccs.edu\/gmorrow\/wp-content\/uploads\/sites\/19\/2022\/04\/PersistentGamRun_pp28-35.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">PersistentGamRun_pp28-35<\/a><\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-column has-small-font-size is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:12%\">\n<div class=\"wp-block-file\"><a id=\"wp-block-file--media-32ed573f-10df-4683-a88a-d1b68e0c8ad2\" href=\"https:\/\/faculty.uccs.edu\/gmorrow\/wp-content\/uploads\/sites\/19\/2022\/04\/PersistentGamRun_pp36-45.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">PersistentGamRun_pp36-45<\/a><\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-column has-small-font-size is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:12%\">\n<div class=\"wp-block-file\"><a id=\"wp-block-file--media-d8997660-cd2c-451a-b281-deb54070b386\" href=\"https:\/\/faculty.uccs.edu\/gmorrow\/wp-content\/uploads\/sites\/19\/2022\/04\/PersistentGamRun_pp46-54.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">PersistentGamRun_pp46-54<\/a><\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-column has-small-font-size is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:12%\">\n<div class=\"wp-block-file\"><a id=\"wp-block-file--media-656365e1-792f-4c44-9cf6-daa5d3582b3b\" href=\"https:\/\/faculty.uccs.edu\/gmorrow\/wp-content\/uploads\/sites\/19\/2022\/04\/PersistentGamRun_pp55-67.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">PersistentGamRun_pp55-67<\/a><\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-column has-small-font-size is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:12%\">\n<div class=\"wp-block-file\"><a id=\"wp-block-file--media-33280f2c-246c-40b8-9b77-749f8abac299\" href=\"https:\/\/faculty.uccs.edu\/gmorrow\/wp-content\/uploads\/sites\/19\/2022\/04\/PersistentGamRun_pp68-75.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">PersistentGamRun_pp68-75<\/a><\/div>\n<\/div>\n<\/div>\n<\/div><\/div>\n\n\n\n<p class=\"has-small-font-size wp-block-paragraph\"><strong>Moderate deviations for certain integer valued statistics with applications to gambler&#8217;s ruin (2017), <a href=\"https:\/\/faculty.uccs.edu\/gmorrow\/wp-content\/uploads\/sites\/19\/2025\/07\/Last_Visit_Moderateformerly-Large_Deviations_Jan_2_2025-formerly-REV-15_JTOP_Submission_Jan_27_2017.pdf\">preprint<\/a><\/strong><\/p>\n\n\n\n<p class=\"has-small-font-size wp-block-paragraph\"><strong><a rel=\"noreferrer noopener\" href=\"\/gmorrow\/wp-content\/uploads\/sites\/19\/2021\/02\/Laws_Relating_Runs_Steps.pdf\" target=\"_blank\">Laws relating runs and steps in gambler&#8217;s ruin<\/a>,&nbsp;<em>Stoch. Proc. Appl.<\/em>125 (2015) 2010-2025.<\/strong><\/p>\n\n\n\n<p class=\"has-small-font-size wp-block-paragraph\"><strong><a href=\"\/gmorrow\/wp-content\/uploads\/sites\/19\/2021\/02\/Morrow_TIME_Constant_LAST_Passage_Aug_24_2009.pdf\" data-type=\"URL\">Time constant for the once oriented last passage percolation in high dimensions<\/a>,&nbsp;<em>Dependence in Probability, Analysis, and Number Theory<\/em>, I. Berkes, R. C. Bradley, H. Dehling, M. Peligrad and R. Tichy, eds., Kendrick Press (2010).<\/strong><\/p>\n\n\n\n<p class=\"has-small-font-size wp-block-paragraph\"><strong>(with Y. Zhang)&nbsp;<a href=\"\/gmorrow\/wp-content\/uploads\/sites\/19\/2021\/02\/AAP0102.pdf\">The sizes of the pioneering, lowest crossing, and pivotal sites in critical percolation on the triangular lattice,<\/a><em>Ann. Appl. Probab.&nbsp;<\/em>15, 1832-1886 (2005).<\/strong><\/p>\n\n\n\n<p class=\"has-small-font-size wp-block-paragraph\"><strong>(with S. Chakravarty) Statistical Analysis of collision-induced timing shifts in a wavelength-division-multiplexed optical soliton-transmission system,&nbsp;<em>Contemporary Mathematics<\/em>301, 235-247 (2002).<\/strong><\/p>\n\n\n\n<p class=\"has-small-font-size wp-block-paragraph\"><strong>(with R. Schinazi and Y. Zhang) The critical contact process on a homogeneous tree,<em>&nbsp;J. Appl. Prob.<\/em>, 31<\/strong>, 250-255, (1994).<\/p>\n\n\n\n<p class=\"has-small-font-size wp-block-paragraph\"><strong>Large deviation results for a class of Markov chains with applications to an infinite alleles model of population genetics,&nbsp;<em>Ann. Appl. Probab.,<\/em>&nbsp;2, 857-905 (1992).<\/strong><\/p>\n\n\n\n<p class=\"has-small-font-size wp-block-paragraph\"><strong>(with S. Sawyer) Large deviation results for a class of Markov chains arising from population genetics,&nbsp;<em>Ann. Probab<\/em>. 17, 1124-1146 (1989).<\/strong><\/p>\n\n\n\n<p class=\"has-small-font-size wp-block-paragraph\"><strong>Central limit theorem for linearly dependent fields of continuous elements,&nbsp;<em>Prob. Th. Rel. Fields,<\/em>&nbsp;75, 87-95 (1987).<\/strong><\/p>\n\n\n\n<p class=\"has-small-font-size wp-block-paragraph\">University of Denver Analysis Seminar, 2016<a href=\"\/gmorrow\/wp-content\/uploads\/sites\/19\/2021\/02\/Last_Visit_Large_Deviations_October_28_2016_SLIDES.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">: (Slides) Large deviations for certain integer valued statistics in gambler&#8217;s ruin.<\/a><\/p>\n\n\n\n<p class=\"has-small-font-size wp-block-paragraph\"><em>8<sup>th<\/sup>&nbsp;International Conference on Lattice Path Combinatorics &amp; Applications<\/em>, Cal Poly Pomona, 2015:&nbsp;<a href=\"\/gmorrow\/wp-content\/uploads\/sites\/19\/2021\/02\/Morrow_8th_Lattice_Path-Comb_Aug_20_2015_Pomona_SLIDES_REV.pdf\">(Slides) Laws relating runs, long runs, and steps in gambler&#8217;s ruin, with persistence in two strata.<\/a><\/p>\n\n\n\n<p class=\"has-small-font-size wp-block-paragraph\"><em>Frontier Probability Days 2014, Tucson:<\/em>&nbsp;(<a href=\"\/gmorrow\/wp-content\/uploads\/sites\/19\/2021\/02\/Morrow_FPD_2014_Tucson_Slides_5-18.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">Slides) Laws relating runs and steps in gambler&#8217;s ruin.<\/a><\/p>\n\n\n\n<p class=\"has-small-font-size wp-block-paragraph\"><em><strong>Conference in Memory of Walter V. Philipp, June, 2009<\/strong><\/em><strong><em>:&nbsp;<\/em><\/strong><a href=\"\/gmorrow\/wp-content\/uploads\/sites\/19\/2021\/02\/GRAZ_Talk_June_13_2009.pdf\">Talk on an asymptotic evaluation of the last passage time constant in high dimensions.<\/a><\/p>\n\n\n\n<p class=\"has-small-font-size wp-block-paragraph\">(<strong>with B. Rider and O. Poliannikov<\/strong>) <em><strong>Frontier Probability Days 2007 Conference at CU-Colorado Springs:&nbsp;<\/strong><\/em><a href=\"\/gmorrow\/wp-content\/uploads\/sites\/19\/2021\/02\/fpd07_program_May_16.pdf\">FPD07 Program<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Background and Professional Information Ph.D.in Mathematics, University of Illinois (Champaign-Urbana), 1979. M.S. in Statistics, University of Illinois (Champaign-Urbana), 1979. M.A. in Counseling Psychology, Regis University (Denver), 1998 Associate Professor at Univ. Colorado Colorado Springs 1986-2006. Professor at Univ. Colorado Colorado Springs 2006-Present. Research Interests: Probability Random Walk, Percolation Personal Interests: Tai Chi Jungian and Process [&hellip;]<\/p>\n","protected":false},"author":7,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_uag_custom_page_level_css":"","advgb_blocks_editor_width":"","advgb_blocks_columns_visual_guide":"","footnotes":""},"class_list":["post-24","page","type-page","status-publish","hentry"],"uagb_featured_image_src":{"full":false,"thumbnail":false,"medium":false,"medium_large":false,"large":false,"1536x1536":false,"2048x2048":false},"uagb_author_info":{"display_name":"rjanke","author_link":"https:\/\/faculty.uccs.edu\/gmorrow\/author\/rjanke\/"},"uagb_comment_info":0,"uagb_excerpt":"Background and Professional Information Ph.D.in Mathematics, University of Illinois (Champaign-Urbana), 1979. M.S. in Statistics, University of Illinois (Champaign-Urbana), 1979. M.A. in Counseling Psychology, Regis University (Denver), 1998 Associate Professor at Univ. Colorado Colorado Springs 1986-2006. Professor at Univ. Colorado Colorado Springs 2006-Present. Research Interests: Probability Random Walk, Percolation Personal Interests: Tai Chi Jungian and Process&hellip;","coauthors":[],"author_meta":{"author_link":"https:\/\/faculty.uccs.edu\/gmorrow\/author\/rjanke\/","display_name":"rjanke"},"relative_dates":{"created":"Posted 5 years ago","modified":"Updated 10 months ago"},"absolute_dates":{"created":"Posted on February 1, 2021","modified":"Updated on July 24, 2025"},"absolute_dates_time":{"created":"Posted on February 1, 2021 9:21 am","modified":"Updated on July 24, 2025 11:27 am"},"featured_img_caption":"","featured_img":false,"series_order":"","_links":{"self":[{"href":"https:\/\/faculty.uccs.edu\/gmorrow\/wp-json\/wp\/v2\/pages\/24","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/faculty.uccs.edu\/gmorrow\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/faculty.uccs.edu\/gmorrow\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/faculty.uccs.edu\/gmorrow\/wp-json\/wp\/v2\/users\/7"}],"replies":[{"embeddable":true,"href":"https:\/\/faculty.uccs.edu\/gmorrow\/wp-json\/wp\/v2\/comments?post=24"}],"version-history":[{"count":111,"href":"https:\/\/faculty.uccs.edu\/gmorrow\/wp-json\/wp\/v2\/pages\/24\/revisions"}],"predecessor-version":[{"id":371,"href":"https:\/\/faculty.uccs.edu\/gmorrow\/wp-json\/wp\/v2\/pages\/24\/revisions\/371"}],"wp:attachment":[{"href":"https:\/\/faculty.uccs.edu\/gmorrow\/wp-json\/wp\/v2\/media?parent=24"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}