In stochastic analysis, a rough path is a generalization of the notion of smooth path allowing to construct a robust solution theory for controlled differential...

using rough paths theory, while adding a chosen definition of iterated integrals of Brownian motion, it is possible to define a deterministic rough integral...

awarded an ERC Consolidator Grant. with Hairer, Martin (2020). A Course on Rough Paths. Universitext (2nd ed.). Springer Cham. doi:10.1007/978-3-030-41556-3...

of unbounded variation. The rough path integral, which is defined for functions equipped with some additional "rough path" structure and generalizes stochastic...

road that runs from Atar to Zouerrat. Drivers can be hired in Atar. The rough path runs parallel to the tracks for the Iron Ore Train before crossing it...

turning and through traffic onto a one-way circular roadway Trail/Track, a rough path through more wild or remote territory Many other types of road On water...

surrounded by pasturelands and is only legally accessible by foot. The paths are rugged (due to both illegal vehicular traffic and erosion) and the land...

awarded the Fields Medal for this work on the KPZ equation, along with rough paths theory and regularity structures. There were 6 different analytic self-similar...

person. The footpath, after the initial section with cut steps, is a rough path formed by rainwater and ascending through natural woodland. A more gradual...

where they split from the main trail and followed (and improved) the rough path known as Hastings Cutoff, used by the ill-fated Donner Party in 1846....

and this breaks his heart. He decides to shed his innocence, takes the rough path to propose her, and ends up being a don in town. Manoj Bajpayee as Ram...

railway station (last railway stop before the summit) from which there is a rough path to the peak. The trail has sections of gravel, slate stones, grass and...

The Rough Riders was a nickname given to the 1st United States Volunteer Cavalry, one of three such regiments raised in 1898 for the Spanish–American...

Cross of Lorraine combined with an anchor. Across the road, steps and a rough path lead up to a viewpoint at Craigs Top with views up the River Clyde as...

ends in Trongsa and from there to Bumthang District, taking through the rough paths of the Himalayas and up to as high as 5000m above sea level. The route...

dedicated to St Mary, is a Grade I Listed Building that is reached via a narrow path and steps from Abbey Road. The Chapel has a carved altar with a canopied...

complexity Kolmogorov complexity estimates Hidden Markov model states Rough path signature Surrogate time series and surrogate correction Loss of recurrence...

Tommy Rees stats. Sports.espn.go.com. Retrieved on August 9, 2012. "A Rough Path: The Tale of Tommy Rees". Down the Tunnel. November 18, 2013. Watson,...

projections. In a similar vein, and with rough differential equations in mind, the study of non-geometric rough paths on manifolds has been approached in Armstrong...

modern road. There is a rough road from Ishkashim to Sarhad-e Broghil built in the 1960s, but only rough paths beyond. These paths run some 100 km (60 mi)...

Since it is difficult to visualize all the atoms at once, the ribbon shows the rough path of the protein's backbone from its N-terminus to its C-terminus....

December 2022. Official website Rough map of the expedition (based on the official route graphic). Red shows the rough path; cyan shows the 0- and 180-degree...

Y = f ( Y ) d X {\displaystyle dY=f(Y)\,dX} driven by the path X. The theory of rough paths generalises the Young integral and Young differential equations...

livestock from raiders, or hide cattle they themselves had stolen. The steep rough path up from Glen Coe skirts a wooded ravine, and is a popular short walk (around...

ridge to the Bealach an Dubh Choirein. From this bealach a series of rough paths cut very steeply up the right side of the prominent buttress, involving...

chapel; allow two hours for the completion and return in good weather. A rough path follows the perimeter of the hill at a much lower level, and can be used...

(5 km) stretch with Massachusetts Route 2. Route 2, which follows the rough path of (and is nicknamed after) the Mohawk Trail, enters over the Fall River...

is reached via a once well formed path, however access is now hazardous due to the condition of the cliff edge path and the vertical drop into the River...

of waterfalls. The top of the path leads out onto the shoulder formed by the ancient landslip, with views and a rough path to the flat corrie floor. This...

In the 1990s and 2000s the theories of Schramm–Loewner evolution and rough paths were introduced and developed to study stochastic processes and other...