Maximal large deviations and slow recurrences in weakly chaotic systems

Saved in:
Bibliographic Details
Published in:Advances in mathematics (New York. 1965) Vol. 432; p. 109267
Main Authors: Bunimovich, Leonid A., Su, Yaofeng
Format: Journal Article
Language:English
Published: 01-11-2023
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
ArticleNumber 109267
Author Su, Yaofeng
Bunimovich, Leonid A.
Author_xml – sequence: 1
  givenname: Leonid A.
  surname: Bunimovich
  fullname: Bunimovich, Leonid A.
– sequence: 2
  givenname: Yaofeng
  surname: Su
  fullname: Su, Yaofeng
BookMark eNotz71OwzAcBHAPRaItPACbXyDBdvw5ogoKUhELzJbj_g0OiYPsQOnbk6pMp1tO91uhRRoTIHRDSU0Jlbdd7eJQM8KauRsm1QItCSG00oroS7QqpZur4dQs0fbZ_cbB9bh3-R3wHn6im-KYCnZpj0s_HnAG_50zJA8Fx4QP4D77I_Yfbpyix-VYJhjKFboIri9w_Z9r9PZw_7p5rHYv26fN3a7yjIupMpoFT1swPlAtlZBMKU-YbCB4LbgwSnCneKug9QAmBEK4a5hhRCthuGzWiJ53fR5LyRDsV57_56OlxJ70trOz3p709qxv_gCpDlJ4
CitedBy_id crossref_primary_10_1142_S0219493724500047
crossref_primary_10_1088_1361_6544_ad2b15
Cites_doi 10.1214/aop/1176991491
10.1007/s00220-022-04309-w
10.1090/tran/8609
10.1088/0951-7715/18/4/006
10.1016/j.anihpc.2012.06.004
10.1007/s11856-020-2074-0
10.1007/s00220-005-1511-6
10.1007/BF02808180
10.1016/j.aim.2011.06.014
10.1007/BF01197884
10.1007/s00220-020-03795-0
10.1017/etds.2015.28
10.2307/120960
10.1007/s00220-007-0360-x
10.1090/S0002-9939-08-09751-7
10.1142/S0219493720500306
10.1016/j.aim.2017.12.020
10.1016/j.spa.2016.05.001
10.1090/mosc/256
10.1038/385045a0
10.1364/OL.21.001609
10.1007/s00220-005-1407-5
10.1103/PhysRevLett.86.1518
10.4171/jems/731
10.1023/A:1004581304939
10.1017/S0143385703000270
10.1007/s00220-009-0911-4
10.1090/S0002-9947-08-04520-0
10.1088/0951-7715/27/7/1669
10.1103/PhysRevLett.86.1514
ContentType Journal Article
DBID AAYXX
CITATION
DOI 10.1016/j.aim.2023.109267
DatabaseName CrossRef
DatabaseTitle CrossRef
DeliveryMethod fulltext_linktorsrc
Discipline Mathematics
ExternalDocumentID 10_1016_j_aim_2023_109267
GroupedDBID --K
--M
--Z
-~X
.~1
0R~
0SF
1B1
1RT
1~.
1~5
23M
4.4
457
4G.
5GY
5VS
6I.
6TJ
7-5
71M
8P~
9JN
AACTN
AAEDT
AAEDW
AAFTH
AAIKJ
AAKOC
AALRI
AAOAW
AAQFI
AAQXK
AASFE
AAXKI
AAXUO
AAYXX
ABAOU
ABCQX
ABEFU
ABFNM
ABJNI
ABLJU
ABMAC
ABVKL
ABXDB
ACDAQ
ACGFS
ACNCT
ACRLP
ADBBV
ADEZE
ADFGL
ADIYS
ADMUD
ADVLN
AEBSH
AEKER
AENEX
AEXQZ
AFJKZ
AFKWA
AFTJW
AGHFR
AGUBO
AGYEJ
AHHHB
AIEXJ
AIGVJ
AIKHN
AITUG
AJOXV
AKRWK
ALMA_UNASSIGNED_HOLDINGS
AMFUW
AMRAJ
ARUGR
ASPBG
AVWKF
AXJTR
AZFZN
BKOJK
BLXMC
CAG
CITATION
COF
CS3
D0L
DM4
EBS
EFBJH
EJD
EO8
EO9
EP2
EP3
FDB
FEDTE
FGOYB
FIRID
FNPLU
FYGXN
G-2
G-Q
GBLVA
HVGLF
HX~
HZ~
IHE
IXB
J1W
KOM
LG5
M25
M41
MCRUF
MHUIS
MO0
MVM
N9A
NCXOZ
O-L
O9-
OAUVE
OHT
OK1
OZT
P-8
P-9
P2P
PC.
Q38
R2-
RIG
RNS
ROL
RPZ
SDF
SDG
SDP
SES
SEW
SPC
SPCBC
SSW
SSZ
T5K
UPT
WH7
XOL
XPP
ZCG
ZKB
ZMT
~G-
ID FETCH-LOGICAL-c245t-982fc1be9cf186756277c0263efc85459754a74b7ebcee9ff004a329208759463
ISSN 0001-8708
IngestDate Thu Sep 26 21:09:53 EDT 2024
IsPeerReviewed true
IsScholarly true
Language English
LinkModel OpenURL
MergedId FETCHMERGED-LOGICAL-c245t-982fc1be9cf186756277c0263efc85459754a74b7ebcee9ff004a329208759463
ParticipantIDs crossref_primary_10_1016_j_aim_2023_109267
PublicationCentury 2000
PublicationDate 2023-11-00
PublicationDateYYYYMMDD 2023-11-01
PublicationDate_xml – month: 11
  year: 2023
  text: 2023-11-00
PublicationDecade 2020
PublicationTitle Advances in mathematics (New York. 1965)
PublicationYear 2023
References Su (10.1016/j.aim.2023.109267_br0390) 2023; 376
Bunimovich (10.1016/j.aim.2023.109267_br0120)
Pène (10.1016/j.aim.2023.109267_br0360) 2016; 36
Kachurovskii (10.1016/j.aim.2023.109267_br0250) 2016
Bálint (10.1016/j.aim.2023.109267_br0050) 2006; 263
Cecconi (10.1016/j.aim.2023.109267_br0130) 2014; vol. 885
Markarian (10.1016/j.aim.2023.109267_br0270) 2004; 24
Milner (10.1016/j.aim.2023.109267_br0310) 2001; 86
Nicol (10.1016/j.aim.2023.109267_br0320) 2020; 20
Haydn (10.1016/j.aim.2023.109267_br0240) 2020; 378
Bunimovich (10.1016/j.aim.2023.109267_br0110) 2022; 390
Chernov (10.1016/j.aim.2023.109267_br0160) 2005; 18
Kachurovskiĭ (10.1016/j.aim.2023.109267_br0260) 2011; 202
Ellis (10.1016/j.aim.2023.109267_br0200) 1985; vol. 271
Pène (10.1016/j.aim.2023.109267_br0350) 2010; 293
Melbourne (10.1016/j.aim.2023.109267_br0280) 2009; 137
Bunimovich (10.1016/j.aim.2023.109267_br0080) 1974; 8
Alves (10.1016/j.aim.2023.109267_br0030) 2017; 19
Bunimovich (10.1016/j.aim.2023.109267_br0100) 2022; 390
Chernov (10.1016/j.aim.2023.109267_br0170) 2008; 277
Young (10.1016/j.aim.2023.109267_br0400) 1990; 318
Freitas (10.1016/j.aim.2023.109267_br0220) 2014; 27
Chernov (10.1016/j.aim.2023.109267_br0150) 2006; vol. 127
Richter (10.1016/j.aim.2023.109267_br0380) 2001
Alves (10.1016/j.aim.2023.109267_br0010) 2011; 228
Arratia (10.1016/j.aim.2023.109267_br0040) 1989; 17
Bruin (10.1016/j.aim.2023.109267_br0060) 2018; 328
Bunimovich (10.1016/j.aim.2023.109267_br0090) 1979; 65
Freitas (10.1016/j.aim.2023.109267_br0210) 2016; 126
Young (10.1016/j.aim.2023.109267_br0410) 1998; 147
Young (10.1016/j.aim.2023.109267_br0420) 1999; 110
Chernov (10.1016/j.aim.2023.109267_br0140) 1999; 94
Nöckel (10.1016/j.aim.2023.109267_br0340) 1996; 21
Cuny (10.1016/j.aim.2023.109267_br0180)
Melbourne (10.1016/j.aim.2023.109267_br0290) 2005; 260
Alves (10.1016/j.aim.2023.109267_br0020) 2013; 30
Melbourne (10.1016/j.aim.2023.109267_br0300) 2008; 360
Nöckel (10.1016/j.aim.2023.109267_br0330) 1997; 385
Friedman (10.1016/j.aim.2023.109267_br0230) 2001; 86
Dembo (10.1016/j.aim.2023.109267_br0190) 1998; vol. 38
Pène (10.1016/j.aim.2023.109267_br0370) 2020; 240
Bunimovich (10.1016/j.aim.2023.109267_br0070)
References_xml – volume: 17
  start-page: 9
  issn: 0091-1798
  issue: 1
  year: 1989
  ident: 10.1016/j.aim.2023.109267_br0040
  article-title: Two moments suffice for Poisson approximations: the Chen-Stein method
  publication-title: Ann. Probab.
  doi: 10.1214/aop/1176991491
  contributor:
    fullname: Arratia
– volume: 390
  start-page: 113
  issn: 0010-3616
  issue: 1
  year: 2022
  ident: 10.1016/j.aim.2023.109267_br0110
  article-title: Poisson approximations and convergence rates for hyperbolic dynamical systems
  publication-title: Commun. Math. Phys.
  doi: 10.1007/s00220-022-04309-w
  contributor:
    fullname: Bunimovich
– volume: 376
  issue: 7
  year: 2023
  ident: 10.1016/j.aim.2023.109267_br0390
  article-title: Vector-valued almost sure invariance principle for non-stationary dynamical systems
  publication-title: Trans. Am. Math. Soc.
  doi: 10.1090/tran/8609
  contributor:
    fullname: Su
– volume: 202
  start-page: 21
  issn: 0368-8666
  issue: 8
  year: 2011
  ident: 10.1016/j.aim.2023.109267_br0260
  article-title: Constants of estimates for the rate of convergence in the von Neumann and Birkhoff ergodic theorems
  publication-title: Mat. Sb.
  contributor:
    fullname: Kachurovskiĭ
– volume: 8
  start-page: 73
  issn: 0374-1990
  issue: 3
  year: 1974
  ident: 10.1016/j.aim.2023.109267_br0080
  article-title: The ergodic properties of certain billiards
  publication-title: Funkcional. Anal. i Priložen.
  contributor:
    fullname: Bunimovich
– volume: 18
  start-page: 1527
  issn: 0951-7715
  issue: 4
  year: 2005
  ident: 10.1016/j.aim.2023.109267_br0160
  article-title: Billiards with polynomial mixing rates
  publication-title: Nonlinearity
  doi: 10.1088/0951-7715/18/4/006
  contributor:
    fullname: Chernov
– volume: 30
  start-page: 101
  issn: 0294-1449
  issue: 1
  year: 2013
  ident: 10.1016/j.aim.2023.109267_br0020
  article-title: Geometry of expanding absolutely continuous invariant measures and the liftability problem
  publication-title: Ann. Inst. Henri Poincaré, Anal. Non Linéaire
  doi: 10.1016/j.anihpc.2012.06.004
  contributor:
    fullname: Alves
– volume: 240
  start-page: 625
  issn: 0021-2172
  issue: 2
  year: 2020
  ident: 10.1016/j.aim.2023.109267_br0370
  article-title: Spatio-temporal Poisson processes for visits to small sets
  publication-title: Isr. J. Math.
  doi: 10.1007/s11856-020-2074-0
  contributor:
    fullname: Pène
– volume: 263
  start-page: 461
  issn: 0010-3616
  issue: 2
  year: 2006
  ident: 10.1016/j.aim.2023.109267_br0050
  article-title: Limit theorems in the stadium billiard
  publication-title: Commun. Math. Phys.
  doi: 10.1007/s00220-005-1511-6
  contributor:
    fullname: Bálint
– ident: 10.1016/j.aim.2023.109267_br0120
  contributor:
    fullname: Bunimovich
– volume: 318
  start-page: 525
  issn: 0002-9947
  issue: 2
  year: 1990
  ident: 10.1016/j.aim.2023.109267_br0400
  article-title: Large deviations in dynamical systems
  publication-title: Trans. Am. Math. Soc.
  contributor:
    fullname: Young
– volume: 110
  start-page: 153
  issn: 0021-2172
  year: 1999
  ident: 10.1016/j.aim.2023.109267_br0420
  article-title: Recurrence times and rates of mixing
  publication-title: Isr. J. Math.
  doi: 10.1007/BF02808180
  contributor:
    fullname: Young
– volume: vol. 885
  start-page: 1
  year: 2014
  ident: 10.1016/j.aim.2023.109267_br0130
  article-title: From the law of large numbers to large deviation theory in statistical physics: an introduction
  contributor:
    fullname: Cecconi
– volume: 228
  start-page: 1203
  issn: 0001-8708
  issue: 2
  year: 2011
  ident: 10.1016/j.aim.2023.109267_br0010
  article-title: From rates of mixing to recurrence times via large deviations
  publication-title: Adv. Math.
  doi: 10.1016/j.aim.2011.06.014
  contributor:
    fullname: Alves
– volume: 65
  start-page: 295
  issn: 0010-3616
  issue: 3
  year: 1979
  ident: 10.1016/j.aim.2023.109267_br0090
  article-title: On the ergodic properties of nowhere dispersing billiards
  publication-title: Commun. Math. Phys.
  doi: 10.1007/BF01197884
  contributor:
    fullname: Bunimovich
– volume: 378
  start-page: 149
  issn: 0010-3616
  issue: 1
  year: 2020
  ident: 10.1016/j.aim.2023.109267_br0240
  article-title: Limiting entry and return times distribution for arbitrary null sets
  publication-title: Commun. Math. Phys.
  doi: 10.1007/s00220-020-03795-0
  contributor:
    fullname: Haydn
– volume: 36
  start-page: 2602
  issn: 0143-3857
  issue: 8
  year: 2016
  ident: 10.1016/j.aim.2023.109267_br0360
  article-title: Poisson law for some non-uniformly hyperbolic dynamical systems with polynomial rate of mixing
  publication-title: Ergod. Theory Dyn. Syst.
  doi: 10.1017/etds.2015.28
  contributor:
    fullname: Pène
– volume: 147
  start-page: 585
  issn: 0003-486X
  issue: 3
  year: 1998
  ident: 10.1016/j.aim.2023.109267_br0410
  article-title: Statistical properties of dynamical systems with some hyperbolicity
  publication-title: Ann. Math. (2)
  doi: 10.2307/120960
  contributor:
    fullname: Young
– volume: 277
  start-page: 305
  issn: 0010-3616
  issue: 2
  year: 2008
  ident: 10.1016/j.aim.2023.109267_br0170
  article-title: Improved estimates for correlations in billiards
  publication-title: Commun. Math. Phys.
  doi: 10.1007/s00220-007-0360-x
  contributor:
    fullname: Chernov
– volume: 137
  start-page: 1735
  issn: 0002-9939
  issue: 5
  year: 2009
  ident: 10.1016/j.aim.2023.109267_br0280
  article-title: Large and moderate deviations for slowly mixing dynamical systems
  publication-title: Proc. Am. Math. Soc.
  doi: 10.1090/S0002-9939-08-09751-7
  contributor:
    fullname: Melbourne
– volume: 20
  issn: 0219-4937
  issue: 5
  year: 2020
  ident: 10.1016/j.aim.2023.109267_br0320
  article-title: A note on large deviations for unbounded observables
  publication-title: Stoch. Dyn.
  doi: 10.1142/S0219493720500306
  contributor:
    fullname: Nicol
– volume: vol. 38
  year: 1998
  ident: 10.1016/j.aim.2023.109267_br0190
  article-title: Large Deviations Techniques and Applications
  contributor:
    fullname: Dembo
– volume: vol. 127
  year: 2006
  ident: 10.1016/j.aim.2023.109267_br0150
  article-title: Chaotic Billiards
  contributor:
    fullname: Chernov
– volume: 328
  start-page: 1263
  issn: 0001-8708
  year: 2018
  ident: 10.1016/j.aim.2023.109267_br0060
  article-title: Hitting and escaping statistics: mixing, targets and holes
  publication-title: Adv. Math.
  doi: 10.1016/j.aim.2017.12.020
  contributor:
    fullname: Bruin
– volume: 126
  start-page: 3463
  issn: 0304-4149
  issue: 11
  year: 2016
  ident: 10.1016/j.aim.2023.109267_br0210
  article-title: Rare events for the Manneville-Pomeau map
  publication-title: Stoch. Process. Appl.
  doi: 10.1016/j.spa.2016.05.001
  contributor:
    fullname: Freitas
– start-page: 1
  issn: 0077-1554
  year: 2016
  ident: 10.1016/j.aim.2023.109267_br0250
  article-title: Estimates of the rate of convergence in the von Neumann and Birkhoff ergodic theorems
  publication-title: Trans. Mosc. Math. Soc.
  doi: 10.1090/mosc/256
  contributor:
    fullname: Kachurovskii
– volume: 385
  start-page: 45
  issue: 6611
  year: 1997
  ident: 10.1016/j.aim.2023.109267_br0330
  article-title: Ray and wave chaos in asymmetric resonant optical cavities
  publication-title: Nature
  doi: 10.1038/385045a0
  contributor:
    fullname: Nöckel
– volume: 21
  start-page: 1609
  issue: 19
  year: 1996
  ident: 10.1016/j.aim.2023.109267_br0340
  article-title: Directional emission from asymmetric resonant cavities
  publication-title: Opt. Lett.
  doi: 10.1364/OL.21.001609
  contributor:
    fullname: Nöckel
– volume: 260
  start-page: 131
  issn: 0010-3616
  issue: 1
  year: 2005
  ident: 10.1016/j.aim.2023.109267_br0290
  article-title: Almost sure invariance principle for nonuniformly hyperbolic systems
  publication-title: Commun. Math. Phys.
  doi: 10.1007/s00220-005-1407-5
  contributor:
    fullname: Melbourne
– volume: 86
  start-page: 1518
  issue: 8
  year: 2001
  ident: 10.1016/j.aim.2023.109267_br0230
  article-title: Observation of chaotic and regular dynamics in atom-optics billiards
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.86.1518
  contributor:
    fullname: Friedman
– volume: 19
  start-page: 2911
  issn: 1435-9855
  issue: 10
  year: 2017
  ident: 10.1016/j.aim.2023.109267_br0030
  article-title: SRB measures for partially hyperbolic systems whose central direction is weakly expanding
  publication-title: J. Eur. Math. Soc.
  doi: 10.4171/jems/731
  contributor:
    fullname: Alves
– volume: 94
  start-page: 513
  issn: 0022-4715
  issue: 3–4
  year: 1999
  ident: 10.1016/j.aim.2023.109267_br0140
  article-title: Decay of correlations and dispersing billiards
  publication-title: J. Stat. Phys.
  doi: 10.1023/A:1004581304939
  contributor:
    fullname: Chernov
– ident: 10.1016/j.aim.2023.109267_br0070
  contributor:
    fullname: Bunimovich
– volume: 24
  start-page: 177
  issn: 0143-3857
  issue: 1
  year: 2004
  ident: 10.1016/j.aim.2023.109267_br0270
  article-title: Billiards with polynomial decay of correlations
  publication-title: Ergod. Theory Dyn. Syst.
  doi: 10.1017/S0143385703000270
  contributor:
    fullname: Markarian
– volume: vol. 271
  year: 1985
  ident: 10.1016/j.aim.2023.109267_br0200
  article-title: Entropy, Large Deviations, and Statistical Mechanics
  contributor:
    fullname: Ellis
– volume: 293
  start-page: 837
  issn: 0010-3616
  issue: 3
  year: 2010
  ident: 10.1016/j.aim.2023.109267_br0350
  article-title: Back to balls in billiards
  publication-title: Commun. Math. Phys.
  doi: 10.1007/s00220-009-0911-4
  contributor:
    fullname: Pène
– volume: 360
  start-page: 6661
  issn: 0002-9947
  issue: 12
  year: 2008
  ident: 10.1016/j.aim.2023.109267_br0300
  article-title: Large deviations for nonuniformly hyperbolic systems
  publication-title: Trans. Am. Math. Soc.
  doi: 10.1090/S0002-9947-08-04520-0
  contributor:
    fullname: Melbourne
– volume: 390
  start-page: 113
  issn: 0010-3616
  issue: 1
  year: 2022
  ident: 10.1016/j.aim.2023.109267_br0100
  article-title: Poisson approximations and convergence rates for hyperbolic dynamical systems
  publication-title: Commun. Math. Phys.
  doi: 10.1007/s00220-022-04309-w
  contributor:
    fullname: Bunimovich
– ident: 10.1016/j.aim.2023.109267_br0180
  contributor:
    fullname: Cuny
– start-page: 212
  year: 2001
  ident: 10.1016/j.aim.2023.109267_br0380
  article-title: Wave dynamical chaos: an experimental approach in billiards
  contributor:
    fullname: Richter
– volume: 27
  start-page: 1669
  issn: 0951-7715
  issue: 7
  year: 2014
  ident: 10.1016/j.aim.2023.109267_br0220
  article-title: Convergence of rare event point processes to the Poisson process for planar billiards
  publication-title: Nonlinearity
  doi: 10.1088/0951-7715/27/7/1669
  contributor:
    fullname: Freitas
– volume: 86
  start-page: 1514
  issue: 8
  year: 2001
  ident: 10.1016/j.aim.2023.109267_br0310
  article-title: Optical billiards for atoms
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.86.1514
  contributor:
    fullname: Milner
SSID ssj0009419
Score 2.4453409
SourceID crossref
SourceType Aggregation Database
StartPage 109267
Title Maximal large deviations and slow recurrences in weakly chaotic systems
Volume 432
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://sdu.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV3JTsMwELW6XOCAWMUuHzhRpWoSN06OBcomyoUi9RY5ji21tCnqosLfM46dJhQh0QOXKLIsK_JznmfGM88IXThuDBsfcayIS89SR2sW48yzJAs4FQFRklAqdPFCn3v-TZu0S6WsPDpv-1ekoQ2wVpWza6C9HBQa4B0whyegDs8_4d5hH_0RzPtQpXirmqi-SXZLI-TD8aI2USH2tMgvzYVdCPY2_FQVwGMl3jotSJhn6rQ6TyDtPVrKvE6LF_nUa0ozsBBWuJonsAqAhtKwzZMA6ohrrXp-BpVyPxtLYbZOE3lwXFOCV2RTG9i04RfZlJhwpeZDuxE4-rqNH1StowaDOusrQQDHred9v8tir2xXyyTCLD9tEMIQoRoi1EOUUdUB2gHWq7Ye2r3HXISZ2MYd0t-dnXKn-X4r31GwUwoGR3cbbRlPAbc0xDuoJJJdtNnJ538P3RmwcQo2zsHGADZWYOMC2LifYA02NmBjA_Y-er1td6_vLXMzhsXhb5pZge9Ibkci4FIJEoINSykHb9oVkvtgEwe0SRglERURGEGBlPCDMFddTAbuaUA89wBVknEiDhFuRFQS6TMacwHOfexHPpMepYIzbsumf4Qus3kI37UASvjrzB-v0_kEbeSr6hRVZpO5OEPlaTw_N8B9AXrmT_w
link.rule.ids 315,782,786,27933,27934
linkProvider Elsevier
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Maximal+large+deviations+and+slow+recurrences+in+weakly+chaotic+systems&rft.jtitle=Advances+in+mathematics+%28New+York.+1965%29&rft.au=Bunimovich%2C+Leonid+A.&rft.au=Su%2C+Yaofeng&rft.date=2023-11-01&rft.issn=0001-8708&rft.volume=432&rft.spage=109267&rft_id=info:doi/10.1016%2Fj.aim.2023.109267&rft.externalDBID=n%2Fa&rft.externalDocID=10_1016_j_aim_2023_109267
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0001-8708&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0001-8708&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0001-8708&client=summon