²é¿´: 671  |  »Ø¸´: 2

xzllxls

ľ³æ (ÕýʽдÊÖ)

[ÇóÖú] ¹ØÓÚͼÂÛµÄÒ»¶ÎÓ¢ÎÄ£¬ÔõôÀí½â£¿ ÒÑÓÐ1È˲ÎÓë

ÎÒ×î½ü¶Áµ½Ò»ÆªÂÛÎÄÀïÃæÓÐÒ»¶Î£º
A state is periodic if it is contained only in cycles in which the gcd of the cycle lengths is greater than one. A Markov process is irreducible if it consists of a single strongly connected component. An ergodic state is one that is aperiodic and persistent. A Markov chain is ergodic if all states are ergodic. In graph theory this corresponds to a single strongly connected component that is aperiodic.

ÎÒ¶ÔͼÂÛ²»Á˽⣬ÏëÎÊϵÚÒ»¾ä£º
A state is periodic if it is contained only in cycles in which the gcd of the cycle lengths is greater than one.
ÖеÄthe gcd of the cycle lengthsÊÇʲôÒâ˼£¿

ȦµÄ³¤¶È£¿
Èç¹ûÊǵϰ£¬ÔõÑù¼ÆË㣿

gcdÊÇʲôÒâ˼£¿ÊÇ×î´ó¹«Ô¼ÊýµÄÒâ˼Âð£¿

ΪʲôҪÓÐthe gcd of the cycle lengths Õâ¸ö¸ÅÄ

лл£¡
»Ø¸´´ËÂ¥
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

FMStation

ÖÁ×ðľ³æ (ÖªÃû×÷¼Ò)

¡¾´ð°¸¡¿Ó¦Öú»ØÌû

¸Ðл²ÎÓ룬ӦÖúÖ¸Êý +1
the gcd of the cycle lengths

gcd  - ?????, the greatest common divisor (g.c.d)

?h¡¤(cycle)

???]?o??DG V = ( , E)???????x y − ¡¤??
(a) ?? x − y¡¤?o?¦Ê??????????t(?????c)?¦Ã?
??l x − y¡¤??(trail)???] x x − ¡¤???Q???¡¤(circuit)??
(b) ??? x − y¡¤?o?¦Ê???c???F?????????Q??x − y
¡¤??(path)???h¡¤(cycle)??~???????????l?]¡¤????

http://www.stat.nuk.edu.tw/cbme/discrete/search.htm
2Â¥2016-08-06 21:26:17
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

FMStation

ÖÁ×ðľ³æ (ÖªÃû×÷¼Ò)

¡¾´ð°¸¡¿Ó¦Öú»ØÌû

G is strongly connected and the the GCD of the cycle lengths in G is 1.

Convergence on Directed Graphs
http://citeseerx.ist.psu.edu/vie ... p1&type=pdf

Strongly connected component
https://en.wikipedia.org/wiki/Strongly_connected_component
3Â¥2016-08-06 21:33:09
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû
Ïà¹Ø°æ¿éÌø×ª ÎÒÒª¶©ÔÄÂ¥Ö÷ xzllxls µÄÖ÷Ìâ¸üÐÂ
×î¾ßÈËÆøÈÈÌûÍÆ¼ö [²é¿´È«²¿] ×÷Õß »Ø/¿´ ×îºó·¢±í
[˶²©¼ÒÔ°] ÊÛSCIÒ»ÇøÎÄÕ£¬ÎÒ:8.O.551.O.5.4,¿ÆÄ¿È«,¿ÉÙ¤¼± +3 0XLacIJUOj8D 2026-08-24 8/400 2026-08-25 05:12 by BZKMTicpDhFj
[¿¼²©] ÊÛSCIÒ»ÇøÎÄÕ£¬ÎÒ:8.O.55.1.O.54,¿ÆÄ¿ÆëÈ«,¿ÉÙ¤¼± +3 0XLacIJUOj8D 2026-08-24 3/150 2026-08-25 01:47 by BZKMTicpDhFj
[»ù½ðÉêÇë] Ã÷ÌìÓ¦¸Ã¿É²éÁË£¡£¿ +5 chengyan1220 2026-08-23 5/250 2026-08-24 23:28 by ÎÒ4´ó°×²Ë
[»ù½ðÉêÇë] ûÓÐÈκÎÏûÏ¢-ÊDz»ÊǾÍÁ¹ÁË +7 ͼÀ²Í¼À² 2026-08-24 8/400 2026-08-24 22:00 by maomao_da
[»ù½ðÉêÇë] ÈËÆø²»ÐÐÁË +10 fansofjerry 2026-08-21 10/500 2026-08-24 21:03 by zhanghaozhu
[»ù½ðÉêÇë] ÎÒÃæÉÏÍêµ°ÁË +9 ÇÒÌý»¢Ð¥ 2026-08-20 10/500 2026-08-24 20:08 by ¿àº®À´Ïã
[»ù½ðÉêÇë] filecode£¬4¸öjtjcÁË +14 ziyangfang 2026-08-19 17/850 2026-08-24 18:37 by ¹þ¹þ¸ò£¿
[»ù½ðÉêÇë] 2026¹ú×ÔÈ»º¯ÆÀ·Ñµ½ÕË +17 ÑòÑü°å 2026-08-21 19/950 2026-08-24 16:52 by iaeyuan
[»ù½ðÉêÇë] ½¨Òé»ù½ð·¢²¼Ìáǰ¸ø³öÃ÷È·µÄʱ¼äµã +13 kulium 2026-08-21 16/800 2026-08-24 16:27 by superceng
[»ù½ðÉêÇë] ½ñÈÕ²»·Å°ñ£¿Íø´«¹ú×ÔȻԤ¼Æ 8 Ô 27 Èտɲé½á¹û +17 ҽѧÀÏÄк¢ 2026-08-20 21/1050 2026-08-24 14:21 by refreshing11
[»ù½ðÉêÇë] ÈÃÎÒÖÐÒ»¸öÃæÉϰɣ¡ +13 ´óƼ1987 2026-08-20 16/800 2026-08-24 10:23 by ̫ɵÁË
[»ù½ðÉêÇë] ¿ÆÑй¶ùÌ«ÄÑÁË +18 ÎÒ4´ó°×²Ë 2026-08-20 19/950 2026-08-24 09:47 by ¿­¶÷¹ãÊ¢´ß»¯·ÖÎ
[»ù½ðÉêÇë] ½ñÌì·Å°ñÂ𣿠+15 ²¼²¼ºÍÒ»¶þ 2026-08-19 16/800 2026-08-23 09:55 by ÕÅ´ºÉú
[»ù½ðÉêÇë] Ö»ÓÐÿÄêÕâÖÖʱºòÀ´¹ä¹äСľ³æ +24 yaoyewhu2008 2026-08-20 26/1300 2026-08-22 17:43 by kammury
[»ù½ðÉêÇë] ½ñÌì»ù½ð»á³ö½á¹ûÂð£¿20260819 +16 kkkl_v 2026-08-19 17/850 2026-08-22 16:12 by °¢²¼Abu
[»ù½ðÉêÇë] ʱ¼ä´Á½ñÌ죬20ºÅ±äÁË +5 archvillain 2026-08-20 5/250 2026-08-22 06:12 by hui_daxiao
[»ù½ðÉêÇë] Ó¦¸ÃÊÇÏÂÖÜÈý26ÈÕ¹«²¼Á˰ɣ¿ +4 ¹þ¹þ¸ò£¿ 2026-08-21 4/200 2026-08-21 10:58 by Vivilian
[»ù½ðÉêÇë] »ù½ð°¡»ù½ð +4 longfie172 2026-08-20 4/200 2026-08-21 08:58 by mark mao
[»ù½ðÉêÇë] ÖØÒªÏûÏ¢£¬ÖÐÎçϵͳÔÚά»¤ +11 yuleib84 2026-08-18 12/600 2026-08-20 11:09 by xskun
[»ù½ðÉêÇë] Ã÷Ìì·Å°ñ£¿ +5 Shxjjxjkx 2026-08-18 5/250 2026-08-18 18:14 by -´ó´ó´ó´ó´ó-
ÐÅÏ¢Ìáʾ
ÇëÌî´¦ÀíÒâ¼û