Generic Points on the Staircase and Irregularities in Uniform Distribution WRE0P7V6Z3
| URI | m2://res/WRE0P7V6Z3 |
|---|---|
| Kind | preprint |
| Creators | Dmitry Dolgopyat, Omri Sarig |
| Date | 2026-09-27 |
| MSC | 37-XX, 11-XX |
| Subjects | arxiv math.DS, arxiv math.NT |
| Scope | in |
Expressions
e1: version, preprint
| Language | en |
|---|---|
| Date | 2026-09-27 |
| Ids | arXiv 2609.33590, zbl_id 903185773 |
Items in this resource
The mentions of the inventory that name this resource. Each name links to the card of its inventory row.
| Item | Kind | Where | Source |
|---|---|---|---|
| 133FBJKVHS | definition | definition 11.2 | arxiv |
| 19CSE15SVD | definition | definition D.23 | arxiv |
| 19K1P28BRJ | statement | lemma 8.1 | arxiv |
| 1ASKRAYT4M | statement | lemma D.18 | arxiv |
| 1FEYB2EC69 | statement | theorem 1.28 | arxiv |
| 1HXSXPQJTJ | statement | lemma 10.4 | arxiv |
| Compactness | statement | lemma A.5 | arxiv |
| 1SSVKBH57F | statement | proposition 12.1 | arxiv |
| 2210GDBP9C | statement | theorem 1.4 | arxiv |
| 29WJS459W5 | statement | lemma 11.10 | arxiv |
| 2GR670C76W | statement | lemma 4.4 | arxiv |
| 2MXY7942N3 | statement | lemma 8.5 | arxiv |
| 2RZRSTZV06 | statement | theorem 1.30 | arxiv |
| 2SNWQR5MEV | statement | theorem 1.26 | arxiv |
| 2XW5HHSWQF | statement | lemma 11.1 | arxiv |
| 2XWZDCWE7C | statement | corollary 11.6 | arxiv |
| 30WTNQZR8Y | definition | definition D.1 | arxiv |
| 38RBE51BBJ | statement | theorem D.14 | arxiv |
| 3A3B8JT0TK | statement | lemma C.3 | arxiv |
| 3AWDSN55S0 | statement | lemma 12.8 | arxiv |
| 3KP7VG0151 | statement | lemma 11.4 | arxiv |
| 3KTSSKWCTS | statement | lemma B.1 | arxiv |
| 3N28TR54GX | statement | theorem 1.39 | arxiv |
| 3XY9AGYM5R | statement | lemma 3.2 | arxiv |
| 3Y4YCXMK3Z | statement | lemma 9.4 | arxiv |
| 3YE8S3QMJT | statement | theorem 1.29 | arxiv |
| Irreducibility | statement | proposition 8.8 | arxiv |
| 41GNEWZ6G3 | statement | theorem D.6 | arxiv |
| 42QQAFR63G | statement | lemma D.16 | arxiv |
| 45N8Y92G06 | definition | definition D.17 | arxiv |
| 47H0A7MD7F | statement | lemma 7.2 | arxiv |
| 4CZXTC43JZ | statement | theorem 1.27 | arxiv |
| Law of Iterated Logarithm | statement | theorem D.9 | arxiv |
| 4VSR4AV09Q | statement | theorem 4.5 | arxiv |
| Convergence | statement | lemma A.2 | arxiv |
| 587NTP39VT | statement | theorem D.27 | arxiv |
| 5SCJH6Z5Y9 | statement | theorem 1.2 | arxiv |
| 5T6T8NRYKV | statement | lemma 11.8 | arxiv |
| 5YCN70PRPB | definition | definition D.11 | arxiv |
| 64FRQE7BTF | statement | proposition 13.2 | arxiv |
| Aaronson, Nakada, Sarig \& Solomyak | statement | theorem 1.15 | arxiv |
| 6RJTSWWCQT | definition | definition 8.2 | arxiv |
| 6X1M55KNT1 | statement | lemma | arxiv |
| 6YYP2DDSE3 | statement | lemma 12.10 | arxiv |
| 78A1J3P35K | statement | lemma 4 | arxiv |
| 7BDVKWAHRS | statement | theorem 1.40 | arxiv |
| Bounded Geometry | statement | lemma 3.4 | arxiv |
| Bromberg \& Ulcigrai | statement | theorem 1.8 | arxiv |
| 80VRHFFGC9 | statement | lemma 15.3 | arxiv |
| 83Z0VSDJ58 | statement | lemma 9.3 | arxiv |
| 8ATPQFKSD3 | statement | lemma 3 | arxiv |
| 8DEA1JJVYC | statement | lemma 14.3 | arxiv |
| 8HS6W7PJ31 | definition | definition D.13 | arxiv |
| LLT | statement | theorem D.20 | arxiv |
| 8NPJZM0RAX | statement | lemma 10.3 | arxiv |
| 8X2MNXSYW9 | statement | corollary 1.14 | arxiv |
| Upper Bound | statement | lemma 15.1 | arxiv |
| 9CT4SERCCK | definition | definition 9.6 | arxiv |
| 9FGH92ZVSC | statement | lemma 9.2 | arxiv |
| Existence and Uniqueness of the Even CFE | statement | lemma A.3 | arxiv |
| 9MFAHT4PCZ | statement | corollary 1.11 | arxiv |
| A9GF9GV9Q2 | statement | lemma 6.1 | arxiv |
| A9VAG158QZ | statement | lemma 1 | arxiv |
| AKT4KAXKSE | definition | definition 2.4 | arxiv |
| AR0SARZJX3 | definition | definition 1.32 | arxiv |
| ASM5949PZ8 | statement | theorem 1.6 | arxiv |
| ASSY0894Y7 | statement | lemma 7.1 | arxiv |
| Mixing LLT | statement | theorem D.21 | arxiv |
| AVHV2R9E0Q | statement | proposition 8.10 | arxiv |
| B7717R54D6 | statement | corollary 9.9 | arxiv |
| B8NPX8YGN6 | statement | lemma 12.3 | arxiv |
| B9ME9A7EWS | statement | proposition 7.7 | arxiv |
| BJJ0WHJHP6 | statement | lemma 3.1 | arxiv |
| BNV4MQKCMY | statement | lemma 14.2 | arxiv |
| BTP0Z3K11Q | statement | proposition 12.6 | arxiv |
| Temporal CLT | statement | theorem 1.35 | arxiv |
| C3A8JFZJE8 | statement | theorem 1.33 | arxiv |
| Hooper, Hubert \& Weiss | statement | corollary 1.18 | arxiv |
| CPEC91RDT4 | statement | lemma 14.4 | arxiv |
| Almost Sure Invariance Principle | statement | theorem D.8 | arxiv |
| CXY2YPQAY3 | definition | definition D.10 | arxiv |
| D2AQWA15SW | statement | lemma 12.7 | arxiv |
| D5BRSEGCY8 | statement | theorem 1.3 | arxiv |
| LLT for Large Deviations | statement | theorem D.30 | arxiv |
| DGQQ11S7TY | definition | definition D.29 | arxiv |
| LLT for Moderate Deviations | statement | theorem D.28 | arxiv |
| DNAPCA6ESR | statement | lemma 2 | arxiv |
| DV1ERRZEKY | statement | proposition 9.1 | arxiv |
| DWMQWKQZ9Y | statement | corollary 7.4 | arxiv |
| Exponential $\rho$-Mixing | statement | corollary 7.8 | arxiv |
| E4C19DKCGM | statement | lemma C.2 | arxiv |
| Jump Functions | definition | definition 6.2 | arxiv |
| Temporal Local CLT | statement | theorem 1.36 | arxiv |
| Bounded Type | statement | lemma A.4 | arxiv |
| EGBB8KDDWG | statement | theorem 1.10 | arxiv |
| EGF2425EKB | statement | lemma 12.11 | arxiv |
| ET1ZSBGEA8 | statement | corollary 1.38 | arxiv |
| F06W4S3R6F | statement | proposition 13.3 | arxiv |
| F33E8JVKV8 | statement | corollary 1.21 | arxiv |
| F3RSJX00WT | statement | lemma 9.5 | arxiv |
| F7M7T11SB4 | statement | lemma 11.5 | arxiv |
| FPN7RSS20V | statement | theorem 1.25 | arxiv |
| Contraction | statement | lemma A.1 | arxiv |
| Lower Bound | statement | lemma 15.4 | arxiv |
| GKT71EAYXK | statement | proposition 5.7 | arxiv |
| GN8Q987X9C | statement | theorem 1.34 | arxiv |
| GP4WNXXHEN | statement | lemma 3 | arxiv |
| GPPY3G9HCD | statement | lemma B.2 | arxiv |
| H17JX385VJ | statement | lemma 12.4 | arxiv |
| H5R14JWJVA | statement | lemma 11.9 | arxiv |
| H6ZEDRACEW | definition | definition 7.5 | arxiv |
| HEX3VZBFYS | statement | lemma 14.8 | arxiv |
| HFK486SQ11 | statement | lemma 15.2 | arxiv |
| HKCYGCHT26 | statement | proposition 8.9 | arxiv |
| HVEDT6CHJG | statement | corollary 8.7 | arxiv |
| HYS1TPVY7X | statement | lemma 5.3 | arxiv |
| J5E5H2S9P7 | statement | lemma 1 | arxiv |
| J875T0PSH2 | statement | lemma 14.7 | arxiv |
| JJD648EGDK | definition | definition D.12 | arxiv |
| K4ZHEGYATX | statement | lemma 2.1 | arxiv |
| KKC98SKACK | statement | lemma 13.1 | arxiv |
| KVFCWV6RT7 | statement | theorem | arxiv |
| KZH4RWTCF7 | statement | lemma 5.5 | arxiv |
| Dobrushin | statement | theorem D.7 | arxiv |
| M6HPR4B5DE | statement | proposition 11.7 | arxiv |
| MB0RHB11WA | statement | lemma 12.2 | arxiv |
| MEG3BZ07BK | statement | lemma 5 | arxiv |
| MJJV6RK2JK | statement | lemma 8.4 | arxiv |
| MTKKDQFGH1 | statement | lemma C.4 | arxiv |
| N17RKRRDR0 | statement | lemma 4.1 | arxiv |
| N3R7K2820Z | statement | corollary 1.22 | arxiv |
| NAAT3S3BVP | statement | theorem 1.31 | arxiv |
| NG1H7MWWA7 | statement | lemma 14.1 | arxiv |
| NK5C1216W7 | statement | theorem 1.7 | arxiv |
| NM1CQVWE2Y | statement | theorem 1.13 | arxiv |
| NR5J3YPR88 | statement | lemma C.5 | arxiv |
| NRP671QK4H | statement | proposition D.2 | arxiv |
| NXKN1MXZ0C | statement | lemma 3.3 | arxiv |
| P52K8899VD | statement | lemma C.1 | arxiv |
| P6SYNEFPVR | statement | lemma 11.3 | arxiv |
| PTDYJ5AGGJ | statement | lemma 2 | arxiv |
| PYV5MH2Y1V | statement | lemma 2.5 | arxiv |
| Q3G7EHZ2T3 | definition | definition 1.1 | arxiv |
| Q4B63B3MBG | statement | lemma 14.5 | arxiv |
| Q96DGQ81G5 | statement | proposition D.26 | arxiv |
| QBKHAZK12F | statement | lemma 9.10 | arxiv |
| QDJKJF19VP | definition | definition 9.7 | arxiv |
| R807HAPYSN | statement | lemma 5.4 | arxiv |
| Exponential $\phi$-Mixing | statement | corollary 7.9 | arxiv |
| Hooper, Hubert \& Weiss | statement | theorem 1.17 | arxiv |
| RH3N2FTYRC | statement | lemma 10.1 | arxiv |
| RHM9RV6JG1 | statement | corollary 1.12 | arxiv |
| S19V7SRMCV | statement | proposition D.24 | arxiv |
| SYE1TCAV02 | statement | theorem D.3 | arxiv |
| TDQ1MN5PGF | statement | lemma 5.6 | arxiv |
| TG3JSP63M2 | statement | lemma 7 | arxiv |
| TK4XDMMSQM | statement | proposition 1.19 | arxiv |
| TKS6KR2PEA | problem | problem | arxiv |
| TQQ76MN6J8 | problem | problem | arxiv |
| TVE2VVCQEN | statement | theorem 8.3 | arxiv |
| TZ6B4HPTMC | statement | lemma 14.6 | arxiv |
| V3V1CWSEGR | statement | lemma 4 | arxiv |
| V4ZJXZSX26 | statement | theorem 1.9 | arxiv |
| VEHGBVJ371 | statement | theorem 1.20 | arxiv |
| VVE0H27YKT | statement | lemma 12.5 | arxiv |
| VYRT27JTFR | statement | corollary 4.7 | arxiv |
| W2EHXP0WTP | statement | corollary D.15 | arxiv |
| WYRX2KW1CJ | statement | corollary 4.6 | arxiv |
| X4279DNZ0D | statement | proposition 7.3 | arxiv |
| X6NGX2JS5Z | definition | definition 1.16 | arxiv |
| XDWY4G4WKY | statement | proposition 4.2 | arxiv |
| Y2RP06N0VJ | statement | lemma 2.2 | arxiv |
| YF0S4YWSMT | statement | theorem 1.37 | arxiv |
| YPN2Q4JRJB | statement | lemma 10.2 | arxiv |
| YPXWQNN9Y1 | statement | lemma 6.3 | arxiv |
| YS21M2WCGM | statement | lemma 2.3 | arxiv |
| YXKXK6WM7T | definition | definition D.25 | arxiv |
| Z4FGHM4MS9 | definition | definition D.5 | arxiv |
| Z7BMRJ06XC | statement | lemma 8.6 | arxiv |
| ZHPVC8ZG1Q | statement | theorem 1.23 | arxiv |
| ZTQQBQ7CPD | statement | lemma 6 | arxiv |
| ZXJ96EC3BB | statement | lemma 9.8 | arxiv |
Catalogue records
- arxiv: 2609.33590 (work)
- arxiv_text: 2609.33590 (work)
- zbmath_search: 903185773 (work)