Rough path (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Rough path" in English language version.

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Hairer, Martin (7 June 2013). "Solving the KPZ equation". Annals of Mathematics. 178 (2): 559–664. arXiv:1109.6811. doi:10.4007/ANNALS.2013.178.2.4. ISSN 0003-486X. JSTOR 23470800. MR 3071506. S2CID 119247908. Zbl 1281.60060. Wikidata Q56689331.

arxiv.org

Hairer, Martin (7 June 2013). "Solving the KPZ equation". Annals of Mathematics. 178 (2): 559–664. arXiv:1109.6811. doi:10.4007/ANNALS.2013.178.2.4. ISSN 0003-486X. JSTOR 23470800. MR 3071506. S2CID 119247908. Zbl 1281.60060. Wikidata Q56689331.
Hairer, Martin (2014). "A theory of regularity structures". Inventiones Mathematicae. 198 (2): 269–504. arXiv:1303.5113. Bibcode:2014InMat.198..269H. doi:10.1007/s00222-014-0505-4. S2CID 119138901.
Friz, Peter; Gassiat, Paul; Lyons, Terry (2015). "Physical Brownian motion in a magnetic field as a rough path". Transactions of the American Mathematical Society. 367 (11): 7939–7955. arXiv:1302.2531. doi:10.1090/S0002-9947-2015-06272-2. S2CID 59358406.
Cass, Thomas; Friz, Peter (2010). "Densities for rough differential equations under Hörmander's condition". Annals of Mathematics. 171 (3): 2115–2141. arXiv:0708.3730. doi:10.4007/annals.2010.171.2115. S2CID 17276607.
Cass, Thomas; Hairer, Martin; Litterer, Christian; Tindel, Samy (2015). "Smoothness of the density for solutions to Gaussian rough differential equations". The Annals of Probability. 43: 188–239. arXiv:1209.3100. doi:10.1214/13-AOP896. S2CID 17308794.
Hambly, Ben; Lyons, Terry (2010). "Uniqueness for the signature of a path of bounded variation and the reduced path group". Annals of Mathematics. 171: 109–167. arXiv:math/0507536. doi:10.4007/annals.2010.171.109. S2CID 15915599.
Boedihardjo, Horatio; Geng, Xi; Lyons, Terry; Yang, Danyu (2016). "The signature of a rough path: Uniqueness". Advances in Mathematics. 293: 720–737. arXiv:1406.7871. doi:10.1016/j.aim.2016.02.011. S2CID 3634324.
Lyons, Terry; Xu, Weijun (2018). "Inverting the signature of a path". Journal of the European Mathematical Society. 20 (7): 1655–1687. arXiv:1406.7833. doi:10.4171/JEMS/796. S2CID 67847036.
Geng, Xi (2016). "Reconstruction for the Signature of a Rough Path". Proceedings of the London Mathematical Society. 114 (3): 495–526. arXiv:1508.06890. doi:10.1112/plms.12013. S2CID 3641736.

doi.org

Lyons, Terry (1998). "Differential equations driven by rough signals". Revista Matemática Iberoamericana. 14 (2): 215–310. doi:10.4171/RMI/240. ISSN 0213-2230. S2CID 59183294. Zbl 0923.34056. Wikidata Q55933523.
Lyons, Terry; Qian, Zhongmin (2002). System Control and Rough Paths. Oxford Mathematical Monographs. Oxford: Clarendon Press. doi:10.1093/acprof:oso/9780198506485.001.0001. ISBN 9780198506485. Zbl 1029.93001.
Lejay, A. (2003). "An Introduction to Rough Paths". Séminaire de Probabilités XXXVII. Lecture Notes in Mathematics. Vol. 1832. pp. 1–59. doi:10.1007/978-3-540-40004-2_1. ISBN 978-3-540-20520-3. S2CID 12401468.
Gubinelli, Massimiliano (November 2004). "Controlling rough paths". Journal of Functional Analysis. 216 (1): 86–140. doi:10.1016/J.JFA.2004.01.002. ISSN 0022-1236. S2CID 119717942. Zbl 1058.60037. Wikidata Q56689330.
Hairer, Martin (7 June 2013). "Solving the KPZ equation". Annals of Mathematics. 178 (2): 559–664. arXiv:1109.6811. doi:10.4007/ANNALS.2013.178.2.4. ISSN 0003-486X. JSTOR 23470800. MR 3071506. S2CID 119247908. Zbl 1281.60060. Wikidata Q56689331.
Hairer, Martin (2014). "A theory of regularity structures". Inventiones Mathematicae. 198 (2): 269–504. arXiv:1303.5113. Bibcode:2014InMat.198..269H. doi:10.1007/s00222-014-0505-4. S2CID 119138901.
Ledoux, Michel; Qian, Zhongmin; Zhang, Tusheng (December 2002). "Large deviations and support theorem for diffusion processes via rough paths". Stochastic Processes and their Applications. 102 (2): 265–283. doi:10.1016/S0304-4149(02)00176-X. ISSN 1879-209X. Zbl 1075.60510. Wikidata Q56689332.
Lyons, Terry; Qian, Zhongmin (2002). System Control and Rough Paths. Oxford Mathematical Monographs. Oxford: Clarendon Press. doi:10.1093/acprof:oso/9780198506485.001.0001. ISBN 9780198506485. Zbl 1029.93001.
Coutin, Laure; Qian, Zhongmin (2002). "Stochastic analysis, rough path analysis and fractional Brownian motions". Probability Theory and Related Fields. 122: 108–140. doi:10.1007/s004400100158. S2CID 120581658.
Lyons, Terry; Victoir, Nicholas (2007). "An extension theorem to rough paths". Annales de l'Institut Henri Poincaré C. 24 (5): 835–847. Bibcode:2007AIHPC..24..835L. doi:10.1016/j.anihpc.2006.07.004.
Friz, Peter; Gassiat, Paul; Lyons, Terry (2015). "Physical Brownian motion in a magnetic field as a rough path". Transactions of the American Mathematical Society. 367 (11): 7939–7955. arXiv:1302.2531. doi:10.1090/S0002-9947-2015-06272-2. S2CID 59358406.
Cass, Thomas; Friz, Peter (2010). "Densities for rough differential equations under Hörmander's condition". Annals of Mathematics. 171 (3): 2115–2141. arXiv:0708.3730. doi:10.4007/annals.2010.171.2115. S2CID 17276607.
Cass, Thomas; Hairer, Martin; Litterer, Christian; Tindel, Samy (2015). "Smoothness of the density for solutions to Gaussian rough differential equations". The Annals of Probability. 43: 188–239. arXiv:1209.3100. doi:10.1214/13-AOP896. S2CID 17308794.
Chen, Kuo-Tsai (1954). "Iterated Integrals and Exponential Homomorphisms". Proceedings of the London Mathematical Society. s3-4: 502–512. doi:10.1112/plms/s3-4.1.502.
Hambly, Ben; Lyons, Terry (2010). "Uniqueness for the signature of a path of bounded variation and the reduced path group". Annals of Mathematics. 171: 109–167. arXiv:math/0507536. doi:10.4007/annals.2010.171.109. S2CID 15915599.
Boedihardjo, Horatio; Geng, Xi; Lyons, Terry; Yang, Danyu (2016). "The signature of a rough path: Uniqueness". Advances in Mathematics. 293: 720–737. arXiv:1406.7871. doi:10.1016/j.aim.2016.02.011. S2CID 3634324.
Lyons, Terry; Xu, Weijun (2018). "Inverting the signature of a path". Journal of the European Mathematical Society. 20 (7): 1655–1687. arXiv:1406.7833. doi:10.4171/JEMS/796. S2CID 67847036.
Geng, Xi (2016). "Reconstruction for the Signature of a Rough Path". Proceedings of the London Mathematical Society. 114 (3): 495–526. arXiv:1508.06890. doi:10.1112/plms.12013. S2CID 3641736.

harvard.edu

ui.adsabs.harvard.edu

Hairer, Martin (2014). "A theory of regularity structures". Inventiones Mathematicae. 198 (2): 269–504. arXiv:1303.5113. Bibcode:2014InMat.198..269H. doi:10.1007/s00222-014-0505-4. S2CID 119138901.
Lyons, Terry; Victoir, Nicholas (2007). "An extension theorem to rough paths". Annales de l'Institut Henri Poincaré C. 24 (5): 835–847. Bibcode:2007AIHPC..24..835L. doi:10.1016/j.anihpc.2006.07.004.

jstor.org

Hairer, Martin (7 June 2013). "Solving the KPZ equation". Annals of Mathematics. 178 (2): 559–664. arXiv:1109.6811. doi:10.4007/ANNALS.2013.178.2.4. ISSN 0003-486X. JSTOR 23470800. MR 3071506. S2CID 119247908. Zbl 1281.60060. Wikidata Q56689331.

numdam.org

Lyons, Terry; Victoir, Nicholas (2007). "An extension theorem to rough paths". Annales de l'Institut Henri Poincaré C. 24 (5): 835–847. Bibcode:2007AIHPC..24..835L. doi:10.1016/j.anihpc.2006.07.004.

semanticscholar.org

api.semanticscholar.org

Lyons, Terry (1998). "Differential equations driven by rough signals". Revista Matemática Iberoamericana. 14 (2): 215–310. doi:10.4171/RMI/240. ISSN 0213-2230. S2CID 59183294. Zbl 0923.34056. Wikidata Q55933523.
Lejay, A. (2003). "An Introduction to Rough Paths". Séminaire de Probabilités XXXVII. Lecture Notes in Mathematics. Vol. 1832. pp. 1–59. doi:10.1007/978-3-540-40004-2_1. ISBN 978-3-540-20520-3. S2CID 12401468.
Gubinelli, Massimiliano (November 2004). "Controlling rough paths". Journal of Functional Analysis. 216 (1): 86–140. doi:10.1016/J.JFA.2004.01.002. ISSN 0022-1236. S2CID 119717942. Zbl 1058.60037. Wikidata Q56689330.
Hairer, Martin (7 June 2013). "Solving the KPZ equation". Annals of Mathematics. 178 (2): 559–664. arXiv:1109.6811. doi:10.4007/ANNALS.2013.178.2.4. ISSN 0003-486X. JSTOR 23470800. MR 3071506. S2CID 119247908. Zbl 1281.60060. Wikidata Q56689331.
Hairer, Martin (2014). "A theory of regularity structures". Inventiones Mathematicae. 198 (2): 269–504. arXiv:1303.5113. Bibcode:2014InMat.198..269H. doi:10.1007/s00222-014-0505-4. S2CID 119138901.
Coutin, Laure; Qian, Zhongmin (2002). "Stochastic analysis, rough path analysis and fractional Brownian motions". Probability Theory and Related Fields. 122: 108–140. doi:10.1007/s004400100158. S2CID 120581658.
Friz, Peter; Gassiat, Paul; Lyons, Terry (2015). "Physical Brownian motion in a magnetic field as a rough path". Transactions of the American Mathematical Society. 367 (11): 7939–7955. arXiv:1302.2531. doi:10.1090/S0002-9947-2015-06272-2. S2CID 59358406.
Cass, Thomas; Friz, Peter (2010). "Densities for rough differential equations under Hörmander's condition". Annals of Mathematics. 171 (3): 2115–2141. arXiv:0708.3730. doi:10.4007/annals.2010.171.2115. S2CID 17276607.
Cass, Thomas; Hairer, Martin; Litterer, Christian; Tindel, Samy (2015). "Smoothness of the density for solutions to Gaussian rough differential equations". The Annals of Probability. 43: 188–239. arXiv:1209.3100. doi:10.1214/13-AOP896. S2CID 17308794.
Hambly, Ben; Lyons, Terry (2010). "Uniqueness for the signature of a path of bounded variation and the reduced path group". Annals of Mathematics. 171: 109–167. arXiv:math/0507536. doi:10.4007/annals.2010.171.109. S2CID 15915599.
Boedihardjo, Horatio; Geng, Xi; Lyons, Terry; Yang, Danyu (2016). "The signature of a rough path: Uniqueness". Advances in Mathematics. 293: 720–737. arXiv:1406.7871. doi:10.1016/j.aim.2016.02.011. S2CID 3634324.
Lyons, Terry; Xu, Weijun (2018). "Inverting the signature of a path". Journal of the European Mathematical Society. 20 (7): 1655–1687. arXiv:1406.7833. doi:10.4171/JEMS/796. S2CID 67847036.
Geng, Xi (2016). "Reconstruction for the Signature of a Rough Path". Proceedings of the London Mathematical Society. 114 (3): 495–526. arXiv:1508.06890. doi:10.1112/plms.12013. S2CID 3641736.

wikidata.org

Lyons, Terry (1998). "Differential equations driven by rough signals". Revista Matemática Iberoamericana. 14 (2): 215–310. doi:10.4171/RMI/240. ISSN 0213-2230. S2CID 59183294. Zbl 0923.34056. Wikidata Q55933523.
Gubinelli, Massimiliano (November 2004). "Controlling rough paths". Journal of Functional Analysis. 216 (1): 86–140. doi:10.1016/J.JFA.2004.01.002. ISSN 0022-1236. S2CID 119717942. Zbl 1058.60037. Wikidata Q56689330.
Hairer, Martin (7 June 2013). "Solving the KPZ equation". Annals of Mathematics. 178 (2): 559–664. arXiv:1109.6811. doi:10.4007/ANNALS.2013.178.2.4. ISSN 0003-486X. JSTOR 23470800. MR 3071506. S2CID 119247908. Zbl 1281.60060. Wikidata Q56689331.
Ledoux, Michel; Qian, Zhongmin; Zhang, Tusheng (December 2002). "Large deviations and support theorem for diffusion processes via rough paths". Stochastic Processes and their Applications. 102 (2): 265–283. doi:10.1016/S0304-4149(02)00176-X. ISSN 1879-209X. Zbl 1075.60510. Wikidata Q56689332.

worldcat.org

search.worldcat.org

Lyons, Terry (1998). "Differential equations driven by rough signals". Revista Matemática Iberoamericana. 14 (2): 215–310. doi:10.4171/RMI/240. ISSN 0213-2230. S2CID 59183294. Zbl 0923.34056. Wikidata Q55933523.
Gubinelli, Massimiliano (November 2004). "Controlling rough paths". Journal of Functional Analysis. 216 (1): 86–140. doi:10.1016/J.JFA.2004.01.002. ISSN 0022-1236. S2CID 119717942. Zbl 1058.60037. Wikidata Q56689330.
Hairer, Martin (7 June 2013). "Solving the KPZ equation". Annals of Mathematics. 178 (2): 559–664. arXiv:1109.6811. doi:10.4007/ANNALS.2013.178.2.4. ISSN 0003-486X. JSTOR 23470800. MR 3071506. S2CID 119247908. Zbl 1281.60060. Wikidata Q56689331.
Ledoux, Michel; Qian, Zhongmin; Zhang, Tusheng (December 2002). "Large deviations and support theorem for diffusion processes via rough paths". Stochastic Processes and their Applications. 102 (2): 265–283. doi:10.1016/S0304-4149(02)00176-X. ISSN 1879-209X. Zbl 1075.60510. Wikidata Q56689332.

zbmath.org

Lyons, Terry (1998). "Differential equations driven by rough signals". Revista Matemática Iberoamericana. 14 (2): 215–310. doi:10.4171/RMI/240. ISSN 0213-2230. S2CID 59183294. Zbl 0923.34056. Wikidata Q55933523.
Lyons, Terry; Qian, Zhongmin (2002). System Control and Rough Paths. Oxford Mathematical Monographs. Oxford: Clarendon Press. doi:10.1093/acprof:oso/9780198506485.001.0001. ISBN 9780198506485. Zbl 1029.93001.
Gubinelli, Massimiliano (November 2004). "Controlling rough paths". Journal of Functional Analysis. 216 (1): 86–140. doi:10.1016/J.JFA.2004.01.002. ISSN 0022-1236. S2CID 119717942. Zbl 1058.60037. Wikidata Q56689330.
Hairer, Martin (7 June 2013). "Solving the KPZ equation". Annals of Mathematics. 178 (2): 559–664. arXiv:1109.6811. doi:10.4007/ANNALS.2013.178.2.4. ISSN 0003-486X. JSTOR 23470800. MR 3071506. S2CID 119247908. Zbl 1281.60060. Wikidata Q56689331.
Ledoux, Michel; Qian, Zhongmin; Zhang, Tusheng (December 2002). "Large deviations and support theorem for diffusion processes via rough paths". Stochastic Processes and their Applications. 102 (2): 265–283. doi:10.1016/S0304-4149(02)00176-X. ISSN 1879-209X. Zbl 1075.60510. Wikidata Q56689332.
Lyons, Terry; Qian, Zhongmin (2002). System Control and Rough Paths. Oxford Mathematical Monographs. Oxford: Clarendon Press. doi:10.1093/acprof:oso/9780198506485.001.0001. ISBN 9780198506485. Zbl 1029.93001.