### A New Bridge Between the Geometry of Fractals and the Dynamics of Partial Synchronization

In mathematics, simple equations can generate a complex evolution in time and intriguing patterns in space. One famous example of this is the Mandelbrot set,…

In mathematics, simple equations can generate a complex evolution in time and intriguing patterns in space. One famous example of this is the Mandelbrot set,…

The COVID-19 pandemic has made clear the importance of understanding precisely how diseases spread throughout networks of transportation. However, rigorously determining the connection between disease…

A Penn State scientist studying crystal structures has developed a new mathematical formula that may solve a decades-old problem in understanding spacetime, the fabric of…

Within the next decade, the novel coronavirus responsible for COVID-19 could become little more than a nuisance, causing no more than common cold-like coughs and…

The evolving periodicity of the brightness of certain types of stars can now be described mathematically. Not all stars shine brightly all the time. Some…

Theoretical method can make objects invisible to a thermal camera, or mimic a different object. Can you feel the heat? To a thermal camera, which…

Recognized for contributions in number theory, algebraic geometry, topology. The voicemail was extremely unusual. It was from the director of the National Science Foundation, who…

Who made more accurate predictions about the course of the COVID-19 pandemic — experts or the public? A study from the University of Cambridge has…

Pausing AstraZeneca vaccinations because of suspected links to deadly blood clots could allow COVID-19 to continue to spread, cause more deaths. The AstraZeneca COVID-19 vaccine…

An international research team has proven that the imaginary part of quantum mechanics can be observed in action in the real world. For almost a…

A new mathematical model suggests that the easing of lockdown must be accompanied by wider and more effective use of control measures such as facemasks…

COVID-19 Peaks Reflect Time-Dependent Social Activity, Not Herd Immunity Scientists developed a model showing that a fragile, temporary state of immunity emerged during the early…

Method of generating quasipatterns may lead to customizable materials. Mathematicians and engineers at the University of Utah have teamed up to show how ultrasound waves…

Hebrew University Researcher Introduces New Approach to Three-Body Problem, Predicts its Outcome Statistics. The “three-body problem,” the term coined for predicting the motion of three…

Network model findings could shape public health policy for airborne viruses. Studies show wearing masks and social distancing can contain the spread of the COVID-19…

Are we really living in a polarized world? A mathematical model reveals surprises — particularly about people in the middle. When people talk about the…

How many people would you need at a party to guarantee that at least three individuals know each other, or that at least three do…

The 21-digit solution to the decades-old problem suggests many more solutions exist. What do you do after solving the answer to life, the universe, and…