A. Ananova, Pathwise integration and functional calculus for paths with finite quadratic variation, PhD thesis, 2018.

A. Ananova and R. Cont, Pathwise integration with respect to paths of finite quadratic variation, Journal de Mathématiques Pures et Appliquées, vol.107, pp.737-757, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01286515

J. Bertoin, Temps locaux et intégration stochastique pour les processus de Dirichlet, Séminaire de Probabilités, XXI, vol.1247, pp.191-205, 1987.

R. Catellier and M. Gubinelli, Averaging along irregular curves and regularisation of odes, Stochastic Processes and their Applications, vol.126, pp.2323-2366, 2016.

H. Chiu and R. Cont, On pathwise quadratic variation for cadlag functions, Electronic Communications in Probability, p.23, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01818930

R. Cont, Functional Ito Calculus and functional Kolmogorov equations, in Stochastic Integration by Parts and Functional Ito Calculus (Lecture Notes of the Barcelona Summer School in Stochastic Analysis, Advanced Courses in Mathematics, pp.115-208, 2012.

R. Cont and D. Fournié, Change of variable formulas for non-anticipative functionals on path space, J. Funct. Anal, vol.259, pp.1043-1072, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00471318

R. Cont and N. Perkowski, Pathwise integration and change of variable formulas for continuous paths with arbitrary regularity, Transactions of the American Mathematical Society, vol.6, pp.134-138, 2019.
URL : https://hal.archives-ouvertes.fr/hal-01742614

M. Davis, J. Obloj, and V. Raval, Arbitrage bounds for prices of weighted variance swaps, Mathematical Finance, vol.24, pp.821-854, 2014.

M. Davis, J. Ob, and P. Siorpaes, Pathwise stochastic calculus with local times, Ann. Inst. H. Poincaré Probab. Statist, vol.54, pp.1-21, 2018.

W. F. De-la and . Vega, On almost sure convergence of quadratic Brownian variation, Ann. Probab, vol.2, pp.551-552, 1974.

C. Dellacherie and P. Meyer, Probabilities and potential, North-Holland Mathematics Studies, vol.29, 1978.

R. M. Dudley, Sample functions of the gaussian process, Ann. Probab, vol.1, pp.66-103, 1973.

R. M. Dudley and R. Norvai?a, Concrete functional calculus, Springer Monographs in Mathematics, 2011.

H. Föllmer, Calcul d'Itô sans probabilités, Seminar on Probability, XV (Univ. Strasbourg, vol.850, pp.143-150, 1979.

D. Freedman, Brownian Motion and Diffusion, 1983.

P. K. Friz and M. Hairer, A course on rough paths, 2014.

D. Geman and J. Horowitz, Local times for real and random functions, Duke Math. J, vol.43, pp.809-828, 1976.

, Occupation densities, Ann. Probab, vol.8, pp.1-67, 1980.

D. L. Hanson and F. T. Wright, A bound on tail probabilities for quadratic forms in independent random variables, Ann. Math. Statist, vol.42, pp.1079-1083, 1971.

P. Imkeller and D. J. Prömel, Existence of lévy's area and pathwise integration, Communications on Stochastic Analysis, p.9, 2015.

R. L. Karandikar, On the quadratic variation process of a continuous martingale, Illinois J. Math, vol.27, pp.178-181, 1983.

, On pathwise stochastic integration, Stochastic Process. Appl, vol.57, pp.11-18, 1995.

R. L. Karandikar and B. V. Rao, On quadratic variation of martingales, Proc. Indian Acad. Sci. Math. Sci, vol.124, pp.457-469, 2014.

D. Kim, Local time for continuous paths with arbitrary regularity, arxiv, 2019.

P. Lévy, Théorie de l'addition des variables aléatoires, 1937.

, Le mouvement brownien plan, American Journal of Mathematics, vol.62, pp.487-550, 1940.

P. Lévy, Processus stochastiques et mouvement brownien, Gauthier-Villars & Cie, 1948.

N. Perkowski and D. J. Prömel, Local times for typical price paths and pathwise Tanaka formulas, Electron. J. Probab, vol.20, issue.46, p.15, 2015.

P. E. Protter, Stochastic integration and differential equations, 2005.

A. Schied, On a class of generalized Takagi functions with linear pathwise quadratic variation, J. Math. Anal. Appl, vol.433, pp.974-990, 2016.