Abstract: This paper studies the target controllability of multi-layer complex networked systems, in which the nodes are high-dimensional linear time invariant (LTI) dynamical systems, and the network ...

Abstract: This article addresses the challenge of scale variations in crowd-counting problems from a multidimensional measure-theoretic perspective. We start by formulating crowd counting as a measure ...

Dimensional Fund Advisors is a research-driven investment firm based in Austin. It builds equity and fixed income strategies through ETFs, mutual funds, and managed accounts. The company’s global AUM ...

One thing that continues to annoy me is that if I say: I get an error. I'm sure that there are worlds where this makes sense, but why oh why make me spend cycles ...

The global economy has become dependent on the AI industry. Trillions of dollars are being invested into the technology and the infrastructure it relies on; in the final months of 2025, functionally ...

A routine quantum optics technique just revealed an extraordinary secret: entangled light can carry incredibly complex topological structures. Researchers found these hidden patterns reach up to 48 ...

DFA US Micro Cap ETF DFMC, Dimensional’s first exchange-traded share class of an existing mutual fund, began trading today, March 20, 2026. It marks the first time an actively managed ETF share class ...

In one of the most memorable interviews of my career thus far, I was at my desk, head in my hands, talking on the phone to a physicist about extra dimensions. I was trying to understand what it means ...

We all know we live in three-dimensional space. But what does it mean when people talk about four dimensions? Is it just a bigger kind of space? Is it "space-time," the popular idea which emerged from ...

Here’s what you’ll learn in this story: Time might actually have 3 dimensions. But it also means that the space would actually be one-dimensional, instead of the three dimensions we’re familiar with.

A new theory proposes that the universe’s fundamental forces and particle properties may arise from the geometry of hidden extra dimensions. These dimensions could twist and evolve over time, forming ...