Geometric analysis of metric spaces is a vibrant research area at the interface of analysis, geometry and topology. It examines the intrinsic structure of spaces endowed with a notion of distance, ...

Debates over how geometry is understood and learned date back at least to the days of Plato, with more recent scholars ...

The newly developed Huber mean provides a more stable and reliable way to compute averages for data lying on curved geometric spaces, or Riemannian manifolds. By combining the strengths of ...

Unfortunately, this book can't be printed from the OpenBook. If you need to print pages from this book, we recommend downloading it as a PDF. Visit NAP.edu/10766 to get more information about this ...

Saksman's research deals with several mathematical problem areas that involve probabilistic questions in various setups. These include probabilistic methods in mathematical physics, analysis and ...

It's something children do every day when blowing bubbles: Stick a circular wire in a pot of soapy water, pull it out, and behold the film forming across it. But it's not only children who are amused ...

Headed by Professor John Moriarty and Dr Amaranta Membrillo Solis of Queen Mary’s School of Mathematical Sciences, along with collaborators from the University of Nottingham, UCL and École Normale ...

Video: What about shape data? How does that factor into new AI/ML models? We've heard a lot – an amazing amount, actually – about data science applications for AI, with media like images, videos, ...

Geometric optics is a confusing subject for many physics students, who often first encounter the subject in introductory college physics classes. Traditional instruction in geometric optics is not as ...